The bar graph shows the percentage of country A high school seniors who applied to more than three colleges for selected years from 1980 through 2013. The data in the bar graph can be modelled by f(x)=x+32 and g(x)=32.7e0.0271x  in which​ f(x) and​ g(x) represent the percentage of high school seniors who applied to more than three colleges x years after 1980. Use these functions to complete parts​ (a) through​ (c) below. a. According to the linear​ model, what percentage of high school seniors applied to more than three colleges in 2013? b. According to the exponential​ model

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ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
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Chapter8: Sequences And Series
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The bar graph shows the percentage of country A high school seniors who applied to more than three colleges for selected years from 1980 through 2013. The data in the bar graph can be modelled by f(x)=x+32 and g(x)=32.7e0.0271x  in which​ f(x) and​ g(x) represent the percentage of high school seniors who applied to more than three colleges x years after 1980. Use these functions to complete parts​ (a) through​ (c) below.

a. According to the linear​ model, what percentage of high school seniors applied to more than three colleges in 2013?

b. According to the exponential​ model, what percentage of high school seniors applied to more than three colleges in 2013​?

c. Which function is a better model for the data shown by the bar graph in 2013​? Exponential or linear?

 
Percentage of country A High School
Seniors Applying to More Than Three
Colleges
80-
69
63
57
51
60-
46
43
40어 33
20-
1980 1990 1995 2000 2005 2010 2013
Percentage of high school seniors
Transcribed Image Text:Percentage of country A High School Seniors Applying to More Than Three Colleges 80- 69 63 57 51 60- 46 43 40어 33 20- 1980 1990 1995 2000 2005 2010 2013 Percentage of high school seniors
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