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AB B CJ D FU G/ IL J KX Kw M Nm O_ P -\-- h- }-y-g-hw-Ps_-T-L-"t&-%-(-+Y-.-2l-5+-80-:P- = -$?-(B-,FlA-0I-4L-8Oi-<Unit 4 Even Questions UNIT 4: USING GRAPHS, CHARTS AND TABLES EVEN QUESTIONS 2-40 2. An industrial plant suspects that the moisture in the air (the humidity) aggravates the production process, creating more factory rejects. To examine this suspicion, you are asked to compare the past years reject levels with area weather data, shown below. Place data, page 34, here. a. Plot the data, using the humidity as the horizontal axis and the reject level as the vertical axis. Determine the range of values needed to plot all the values shown in the table. b. Does there seem to be a trend in the data, as shown by the plot? c. Draw a long, single line with your ruler that passes through or very near most of the plotted points. Is it easy enough to do to make you think that there may be a relationship between the moisture and the reject level? d. As the humidity gets higher, does the reject level appear to increase or decrease? What are you looking for? What do you need to answer the question? Estimate what your answer(s) might be (think of both numbers and terms to be used). Write out the methods that you will use to solve the problem and show your work in calculating the answer(s). Your answer(s) are (make sure you are close to your estimate and the units used are correct): Unit 4 Even Questions 4. The bar graph below shows the average braking distance required for a medium-sized car traveling at different speeds on dry pavement. The braking distance is measured from the time the brakes are applied until the car comes to a complete stop. Place graph, page 35, here. a. What is the unit of measurement used to indicate the braking distance? b. What is the braking distance for a car traveling at a speed of 50 miles per hour (mph)? c. Does it take about twice as far to stop a car thats going twice as fast? What are you looking for? What do you need to answer the question? Estimate what your answer(s) might be (think of both numbers and terms to be used). Write out the methods that you will use to solve the problem and show your work in calculating the answer(s). Your answer(s) are (make sure you are close to your estimate and the units used are correct): Unit 4 Even Questions 6. You work at Greens Nursery. You are frequently asked by customers when they should fertilize their lawns. You refer to the chart below to help answer their question. The chart shows the growth rate and optimum times for fertilizing warm-season grasses. Place picture, page 37, here. a. Based on the graph, when do warm-season grasses grow the most? (What one or two months?) b. When do they grow the least? (What one or two months?) c. Which of the following statements would agree most closely with the information presented in the graph? (Choose the correct number.) 1. Fertilizer should be applied every week. 2. Fertilizer should be applied only during the summer months. 3. Fertilizer should be applied during February, May, August and November. 4. Fertilizer should be applied during January, late June, and late September. What are you looking for? What do you need to answer the question? Estimate what your answer(s) might be (think of both numbers and terms to be used). Write out the methods that you will use to solve the problem and show your work in calculating the answer(s). Your answer(s) are (make sure you are close to your estimate and theunits used are correct): Unit 4 Even Questions 8. As a farmer, you normally have more than one market where you can sell your produce. Prices vary between markets. The farther away a market, the more it costs to transport the goods. Below is a table of the cost information for five markets, along with the traveling distance for each. Place table, page 38, here. a. Compute the net price per bushel sold at each market by subtracting the transportation costs from the selling price. b. Plot the net price obtained at each market on a graph. Label the net price on the left axis and the market distance on the bottom axis. Do not connect the points with lines, but try to draw a straight line that best fits the trend of the data. c. What change occurs in the net price as the produce is sold at more and more distant markets? d. Estimate the market distance where the net selling price will reach zero. What are you looking for? What do you need to answer tyhe question? Estimate what your answer(s) might be (think of both numbers and terms to be used). Write out the methods that you will use to solve the problem and show your work in calculating the answer(s). Your answer(s) are (make sure you are close to your estimate and the units used are correct): Unit 4 Even Questions 10. The value of breeding stock is related to the percent heritability for various traits. (Heritability refers to the traits inherited from the parents.) The table below shows some heritability estimates for poultry. Place table, page 40, here. a. Construct a bar chart of the above data that compares the approximate heritability for each trait. b. Does any trait(s) seem to be particularly stronger (higher percent) or weaker (lower percent) than the others? If so, which one(s)? What are you looking for? What do you need tgo answer the question? Estimate what your answer(s) might be (think of both numbers and terms to be used). Write out the methods that you will use to solve the problem and show your work in calculating the answer(s). Your answer(s) are (make sure you are close to your estimate and the units used are correct): Unit 4 Even Questions 12.w You supervise the staff in a print shop. Below is a bar graph showing the output of five employees doing similar work. Place graph, page 41, here. a. What span of time is covered by the data on the graph? b. How many workers does the graph portray? c. What was B.C.s output for January? for February? d. Which worker has the most consistent work output? e. How much do you think each worker will produce in March? Why? What are you looking for? What do you need to answer the question? Estimate what your answer(s) might be (think of both numbers and terms to be used). Write out the methods _that you will use to solve the problem and show your work in calculating the answer(s). Your answer(s) are (make sure you are close to your estimate and the units used are correct): Unit 4 Even Questions 14. You are considering buying stock in the CBM Corporation. A brochure on the company reports the following. Place table, page 42, here. a. The table of data makes it possible to examine the trend in the earnings for CBM stock. What kind of graph would be helpful to display this trend? b. Create a line graph to display this trend, showing how the earnings have changed over the indicated years. c. Can you predict what the earnings per share might be for the year 1988? 1989? Is there a problem with this? Why or why not? What are you looking for? What do you need to answer the question? Estimate what your answer(s) might be (think of both numbers and terms to be used). Write out the methods that you will use to solve the problem and show your work in calculating the answer(s). Your answer(s) are (make sure you are close to your estimate and the units used are correct): Unit 4 Even Questions 16. Automobile sales can change dramatically, depending on the economy. Below is a table showing auto sales in the U.S. over a period of several years. Place table, page 43, here. a. Draw a line graph of the factory automobile sales for the years from 1900 to 1980. Label years on one axis, and sales (with appropriate scale) on the other axis. b. In what year does the graph show the most significant drop in automobile sales? c. What would you estimate the sales to be during the year 1948? Is this a very reliable estimate? Why? What are you looking for? What do you need to answer the question? Estimate what your answer(s) might be (think of both numbers and terms to be used). Write out the methods that you will use to solve the problem and show your work in calculating the answer(s). Your answer(s) are (make sure you are close to your estimate and the units used are correct):Unit 4 Even Questions 18. You are working for an insurance company. Mr. Howard has requested that his insurance policy be canceled, effective April 1. His policy has been in effect since January 1, and he h&as already paid his annual premium of $378. To find out what percentage of the premium is to be retained by by the insurance company, a short-rate table is used. A portion of such a table is shown below. Place table, page 45, here. a. According to the table, what is the shortest time period that a policy is to be in force before it can be canceled? b. In the case of Mr. Howard, you determine that his policy has been in force for 90 days. From the short-rate table, what percent of the premium will the insurance company retain? c. Since Mr. Howards policy was in effect for one-fourth of a year, why do you think the company doesnt retain one-fourth of the premium for one-fourth of the year coverage? What are you looking for? What do you need to answer the question? Estimate what your answer(s) might be (think of both numbers and terms to be used). Write out the methods that you will use to solve the problem and show your work in calculating the answer(s). Your answer(s) are (make sure you are close to your estimate and the units used are correct): Unit 4 Even Questions 20. A large company produces a certain machine part. The company can produce the part either by casting or by forging. The tooling cost for forging is quite expensive, but the labor and material cost is relatively low compared to the casting method. For the casting method, the tooling cost is lower but the labor and material cost is higher. A graph of these relationships follows. Place graph, page 47, here. a. For an order for 15,000 parts, what is the cost of producing the part by casting? by forging? b. For an order for 5,000 parts, what is the cost of producing the part by casting? by forging? c. At what size order are the cost of forging and the cost of casting the same? d. Can the breakpoint determined above be used as a guideline for the production staff? What would that guideline be? What are you looking for? What do you need to answer the question? Estimate what your answer(s) might be (think of both numbers and terms to be used). Write out the methods that you will use to solve the problem and show your work in calculating the answer(s). Your answer(s) are (make sure you are close to your estimate and the units used are correct): Unit 4 Even QuestionsY 22. A particular brand of oatmeal is available in several flavors. An analysis of the ingredients reveals the following data. Place table, page 48, here. a. Construct a bar chart, showing for each of the three types of nutrients, the test results for each flavor. One axis should represent the amount of each nutrient, and the other axis should represent the three nutrients. b. Which flavor of oatmeal has the highest protein level? Is it a big difference from the other flavors? c. Which of the nutrients is present in the greatest amount in all of the flavors? What are you looking for? What do you need to answer the question? Estimate what your answer(s) might be (think of both numbers and terms to be used). Write out the methods that you will use to solve the problem and show your work in calculating the answer(s). Your answer(s) are (make sure you are close to your estimate and the units used are correct): Unit 4 Even Questions 24. One measure of a childs health is indicated by breathing rate or respiratory rate. The following graph shows the range of respiratory rates considered normal for children aged 0 through 20 years. The middle line represents the average rate. Place graph, page 50, here. a. What are the units used to measure the breathing rate? b. Based on the graph, do newborns breathe slower or faster than teenagers? c. What is the range of respiration rates considered normal for 16 year olds? d. What do you think the average respiration rate would be for a 30 year old? Is such an extension of the graph valid? Why? What are you looking for? What do you need to answer the question? Estimate what your answer(s) might be (think of both numbers and terms to be used). Write out the methods that you will use to solve the problem and show your work in calculating the answer(s). Your answer(s) are (make sure you are close to your estimate and the units used are correct):Unit 4 Even Questions 26. Your new washing machine came with a table of recommended washing procedures, shown below. Place table, page 51, here. a. What does the illustration on the left of the chart show? b. What rinse-water temperature should you use when laundering your permanent-press bed sheets? c. Suppose you have a white woolen sweater. What spin speed should you use for the sweater? W+hat are you looking for? What do you need to answer the question? Estimate what your answer(s) might be (think of both numbers and terms to be used). Write out the methods that you will use to solve the problem and show your work in calculating the answer(s). Your answer(s) are (make sure you are close to your estimate and the units used are correct): Unit 4 Even Questions 28. You work in a hotel kitchen. One of your tasks is to monitor the food refrigeration system. Below is a table of the temperature data collected twice daily for the past few days. Place table, page 52, here. a. Construct a line graph of the fresh meat refrigerator temperature for the data listed. Label temperature on one axis, and the day and time of the measurement on the other axis of the graph. b. Fresh meats should be maintained at temperatures between 34oF and 38oF. Draw a line across the entire graph for each of these temperatures. Did the meat refrigeration temperature stay within the recommended temperatures? What are you looking for? What do you need to answer the question? Estimate what your answer(s) might be (think of both numbers and terms to be used). Write out the methods that you will use to solve the problem and show your work in calculating the answer(s). Your answer(s) are (make sure you are close to your estimate and the units used are correct): Unit 4 Even Questions 30. PHow can you budget for the cost of electricity for home heating and cooling? You may consider examining your monthly usage patterns. Below is a graph of the monthly electric usage for the past year. Place graph, page 54, here. a. What is the unit of measure for the electricity usage? b. What is the highest amount of electricity usage shown on the graph? c. When does the highest usage occur? d. Are there several months of high usage, or just one month? What are you looking for? What do you need to answer the question? Estimate what your answer(s) might be (think of both numbers and terms to be used). Write out the methods that you will use to solve the problem and show your work in calculating the answer(s). Your answer(s) are (make sure you are close to your estimate and the units used are correct): Unit 4 Even Questions 32. The chart below shows the recommended amount of insulation for various parts of the United States, based on the climate zones. Amounts of insulation are measured by the resistance to heat flow. Insulation materials are rated by R- values--the higher the R-value of a material, the better it will insulate. Examine the chart below, both the map and the insert, and answer the questions. Place map, page 56, here. a. How many different climate zones are indicated on the chart? b. Examine the ceiling insulation recommendations. Is more ceiling insulation needed in the cold northern climates (zones 1 and 2), or the warmer southern climates? c. If you lived in Florida (zone 5), what R-value would be recommended for your homes exterior walls? What are you looking for? What do you need to answer the question? Estimate what your answer(s) might be (think of both numbers and terms to be used). Write out the methods that you will use to solve the problem and show your work in calculating the answer(s). Your answer(s) are (make sure you are close to your estimate and the units used are correct): Unit 4 Even Questions 34. Automobile engines develop torque, the twisting power used to turn the cars wheel. A plot of engine torque is shown below. Place graph, page 57, here. a. Describe what happens to the torque as the engine speed is increased up to 4000 revolutions per minute. Does it get less and less? or more and more? or reach a maximum then drop off? or reach a minimum then increase again? b. What measure of engine speed does the graph use? c. At about what engine speed does the graph indicate that the highest torque is developed? What are you looking for? What do you need to answer the question? Estimate what your answer(s) might be (think of both numbers and terms to be used). Write out the methods that you will use to solve the problem and show your work in calculating the answer(s). Your answer(s) are (make sure you are close to your estimate and the units used are correct): Unit 4 Even Questions A36. For relatively low altitudes, air temperature decreases as the altitude increases, a fact that early aviators had to cope with. A graph of some typical measurements appears below. Place graph, page 59, here. a. What are the units of measurement for altitude and for temperature in the graph? b. How much has the temperature decreased from sea level to an altitude of 3000 feet? c. Think about extending the line to estimate the temperature at 10,000 feet and at 15,000 feet. How reliable do you think these estimates are? Why? d. Discuss the possibilities of extending the line to estimate the temperature at 500 feet below sea level. e. Would early aviators have been interested in the graph provided? What are you looking for? What do you need to answer the question? Estimate what your answer(s) might be (think of both numbers and terms to be used). Write out the methods that you will use to solve the problem and show your work in calculating the answer(s). Your answer(s) are (make sure you are close to your estimate and the units used are correct): Unit 4 Even Questions 38. A test of twenty 30-amp fuses shows that not all the fuses are breaking at the rated amperage. The table of data is shown below. Place table, page 60, here. a. Construct a bar graph of the data. Label the ranges of breaking points on one axis, and the number of fuses breaking in those ranges on other axis. b. Is the most frequently occurring breakpoint near the rated amperage of the fuses? If not, where is it? c. On your graph, shade in the test results that indicate breakpoints outside a tolerance range of 26 amps to 33 amps. What are you looking for? What do you need to answer the question? Estimate what your answer(s) might be (think of both numbers and terms to be used). Write out the methods that you will use to solve the problem and show your work in calculating the answer(s). Your answer(s) are (make sure you are close to your estimate and the units used are correct): Unit 4 Even Questions 40. You are making a presentation to a citizens group about the cost of television sets marketed by your firm. Below is a circle graph showing the breakdown of cost for a particular television set. Place graph, page 62, here. a. iWhat portion ($) of the total cost goes to cover the cost of labor and materials? b. What would be the the total cost of the television if no tariff were imposed on imported parts? c. Estimate what percent of the total cost is profit to the company? What are you looking for? What do you need to answer the question? Estimate what your answer(s) might be (think of both numbers and terms to be used). Write out the methods that you will use to solve the problem and show your work in calculating the answer(s). Your answer(s) are (make sure you are close to your estimate and the units used are correct): DSET(H -@ŠE 7 q t:-D6*ŠE@@,@,@,@,@,DSET|(H -HE@E6*\E