The bar graph on the right shows the average cost of room and board at four-year public and private colleges for four selected years from 2011 through 2017. The

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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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The bar graph on the right shows the average cost of room and board at four-year public and private colleges for four selected years from 2011 through 2017. The data can be modeled by
f(x)= 965x+3339 and g(x)= 3936 e136X in which f(x) and g(x) represent the average cost of room and board at public four-year colleges in the school year ending x years after 2010.
Use these functions to complete parts (a) through (c) below.
Average Cost of Room and Board at Four-Year
Colleges
16000
14000- Public Colleges
12000 Private Colleges
11.024
10,650
8050
7674
10000-
5933
5368
8000 5030
60004712
4000-
2000-
0-
2011
2013
2015
2017
Ending Year in School Year
a. According to the linear model, what was the average cost of room and board at public four-year colleges for the school year ending in 2013?
The average cost in 2013 was $
(Round to the nearest dollar as needed.)
b. According to the exponential modėl, what was the average cost of room and board at public four-year colleges for the school year ending in 2013?
The average cost in 2013 was
(Round to the nearest dollar as needed.)
c. Which function is a better model for the data for the school year ending in 2013?
TI
Click to select your answer(s).
10:53 PM
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51
63°F Mostly clear
O 4)
6/19/2021
21
DELL
F4
FS
F6
F8
FA
F11
F10
F12
PrtScr
Insert
Delete
PgDn
Home
Num
Lock
Backspace
8.
E
R
A
G H
K
Enter
Average Cost ($)
Transcribed Image Text:The bar graph on the right shows the average cost of room and board at four-year public and private colleges for four selected years from 2011 through 2017. The data can be modeled by f(x)= 965x+3339 and g(x)= 3936 e136X in which f(x) and g(x) represent the average cost of room and board at public four-year colleges in the school year ending x years after 2010. Use these functions to complete parts (a) through (c) below. Average Cost of Room and Board at Four-Year Colleges 16000 14000- Public Colleges 12000 Private Colleges 11.024 10,650 8050 7674 10000- 5933 5368 8000 5030 60004712 4000- 2000- 0- 2011 2013 2015 2017 Ending Year in School Year a. According to the linear model, what was the average cost of room and board at public four-year colleges for the school year ending in 2013? The average cost in 2013 was $ (Round to the nearest dollar as needed.) b. According to the exponential modėl, what was the average cost of room and board at public four-year colleges for the school year ending in 2013? The average cost in 2013 was (Round to the nearest dollar as needed.) c. Which function is a better model for the data for the school year ending in 2013? TI Click to select your answer(s). 10:53 PM Type here to search 51 63°F Mostly clear O 4) 6/19/2021 21 DELL F4 FS F6 F8 FA F11 F10 F12 PrtScr Insert Delete PgDn Home Num Lock Backspace 8. E R A G H K Enter Average Cost ($)
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