e numbers of high school students who take college-level courses and test for credit are shown to the right for various years. Let n be the number (in thousands) of high school students mo take college-level courses and test for credit in the year that is t years since 1960. The situation can be described by the linear function n=25.38t- 247.91 and the exponential function = 18.85(1.098)'. Year h (in thous 1963 1970 1977 20.4 54.2 81.1 179.2 353.5 639.2 1195.9 1984 1991 1998 2005 Use a graphing calculator to draw the graphs of the two functions and, in the same viewing window, the scattergram of the data. Choose the correct graph below. DA. OB Oc. OD. t10,50], n[0,1500] t[0,50], n[0,1500] t[0,50], n[0,1500] t(0,50], n[0,1500] Which function describes the situation better? O A. The linear function, n=25.38t - 247.91, describes the graph better. O B. Neither function describes the graph well. O C. The exponential function, n= 18.85(1.098)', describes the graph better. b. Use the exponential model to predict the number of students who will take college-level courses and test for credit in 2012. n= thousand (Round to the nearest tenth as needed.)

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter1: Functions
Section1.4: Functions Given By Words
Problem 13E
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Year n (in thousands)
1963
The numbers of high school students who take college-level courses and test for credit are shown to the right for various years. Let n be the number (in thousands) of high school students
who take college-level courses and test for credit in the year that is t years since 1960. The situation can be described by the linear function n= 25.38t - 247.91 and the exponential function
n= 18.85(1.098)'.
20.4
1970
54.2
1977
81.1
1984
179.2
1991
353.5
639.2
1998
2005
1195.9
....
a. Use a graphing calculator to draw the graphs of the two functions and, in the same viewing window, the scattergram of the data. Choose the correct graph below.
O
D.
O B.
Oc.
O A.
Q
t[0,50], n[0,1500]
t[0,50], n[0,1500]
t[0,50], n[0,1500]
t[0,50], n[0,1500]
Which function describes the situation better?
O A. The linear function, n= 25.38t - 247.91, describes the graph better.
O B. Neither function describes the graph well.
O C. The exponential function, n= 18.85(1.098)', describes the graph better.
b. Use the exponential model to predict the number of students who will take college-level courses and test for credit in 2012.
n3=
Ethousand (Round to the nearest tenth as needed.)
Transcribed Image Text:Year n (in thousands) 1963 The numbers of high school students who take college-level courses and test for credit are shown to the right for various years. Let n be the number (in thousands) of high school students who take college-level courses and test for credit in the year that is t years since 1960. The situation can be described by the linear function n= 25.38t - 247.91 and the exponential function n= 18.85(1.098)'. 20.4 1970 54.2 1977 81.1 1984 179.2 1991 353.5 639.2 1998 2005 1195.9 .... a. Use a graphing calculator to draw the graphs of the two functions and, in the same viewing window, the scattergram of the data. Choose the correct graph below. O D. O B. Oc. O A. Q t[0,50], n[0,1500] t[0,50], n[0,1500] t[0,50], n[0,1500] t[0,50], n[0,1500] Which function describes the situation better? O A. The linear function, n= 25.38t - 247.91, describes the graph better. O B. Neither function describes the graph well. O C. The exponential function, n= 18.85(1.098)', describes the graph better. b. Use the exponential model to predict the number of students who will take college-level courses and test for credit in 2012. n3= Ethousand (Round to the nearest tenth as needed.)
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