Calculator Resource: Desmos Graphing The table below shows the height, h, in meters, of an object that is thrown off the top of a building as a function of t, the time in seconds after it is thrown. t 0.5 1 1.5 2.5 3 h(t) 63.375 75.3 84.775 91.8 96.375 98.5 Using your calculator to do a quadratic regression, the height of the object as a function of the number of seconds that have passed since the object was thrown can be expressed by: h(t) = - 4.9t + 31.2t +49. Using your quadratic regression from above, how high will the object be 2.7 seconds after it is thrown? Select an answer v Round to 3 decimal places. Using your quadratic regression, how long will it take the object to reach 23 meters? Select an answer v Round to the 3 decimal places. inrum

Calculator Resource: Desmos Graphing The table below shows the height, h, in meters, of an object that is thrown off the top of a building as a function of t, the time in seconds after it is thrown. t 0.5 1 1.5 2.5 3 h(t) 63.375 75.3 84.775 91.8 96.375 98.5 Using your calculator to do a quadratic regression, the height of the object as a function of the number of seconds that have passed since the object was thrown can be expressed by: h(t) = - 4.9t + 31.2t +49. Using your quadratic regression from above, how high will the object be 2.7 seconds after it is thrown? Select an answer v Round to 3 decimal places. Using your quadratic regression, how long will it take the object to reach 23 meters? Select an answer v Round to the 3 decimal places. inrum

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter1: Equations And Graphs

Section: Chapter Questions

Problem 6P

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TEST FOR UNDERSTANDING FOR EXAMPLE 5.16 In the study Economics of Scale in High School Operation by J. Riew, the author studied data from the early 1960s on expenditures for high schools ranging from 150 to 2400 enrollment. The data he observed were similar to those in the table below. n=enrollment 200 600 1000 1400 1800 C=costperstudent,indollars 667.4 545.0 461.0 415.4 408.2 Model these data using a quadratic function. Round regression parameters to four decimal places. According to this model, what enrollment produces the minimum cost per student?
Colonial Population The table shows the colonial population estimates of the American colonies for each decade from 1700 through 1780. Let y represent the population in the year t, with t=0 corresponding to 1700. (a) Use the regression feature of a graphing utility to find an exponential model for the data. (b) Use the regression feature of the graphing utility to find a quadratic model for the data. (c) Use the graphing utility to plot the data and the models from parts (a) and (b) in the same viewing window. (d) Which model is a better fit for the data? Would you use this model to predict the population of the United States in 2020? Explain your reasoning.
Life Expectancy The average life expectancy in the United States has been rising steadily over the past few decades, as shown in the table. (a) Make a scatter plot of the data. (b) Find and graph the regression line. (c) Use the linear model you found in part (b) to predict the life expectancy in the year 2006. (d) Search the Internet or your campus library to find the actual 2006 average life expectancy. Compare to your answer in part (c).
Reminder Round all the answers to two decimal places unless otherwise indicated. Women Employed Outside the Home The following table shows the number, in millions, of women employed outside the home in the given year. Year Number, in millions 1942 16.11 1943 18.70 1944 19.17 1945 19.03 1946 16.78 a. Use regression to find a quadratic model for the data. Round the regression parameters to three decimal places. b. Express using functional notation the number of women working outside the home in 1947, and then estimate that value. c. The actual number of women working outside the home in 1947 was 16.90 million, whereas in 1948 the number was 17.58 million. In light of this, is a quadratic model appropriate for the period from 1942 through 1948?