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) = 957x+ 3280 and g(x) = 3871 e0.135x 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 ROeges 16000- 14000-Public Colleges Private Colleges 10953 10,43 12000 10000- 8000- * 60004 s 4000- 2000- 0O11 2013 2015 2017 ull 6231 73 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 2017? The average cost in 2017 was $ 9979 (Round to the nearest dollar as needed.) b. According to the exponential model, what was the average cost of room and board at public four-year colleges for the school year ending in 2017? The average cost in 2017 was $. (Round to the nearest dollar as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter1: Expressions And Functions
Section1.8: Interpreting Graphs Of Functions
Problem 4CYU
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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) = 957x + 3280 and g(x) = 3871 e0.135x 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-
* 14000Public Colleges
12000-Private Colleges
8 10000-
8000- 5399 6231 73
60004 5
4000-
2000-
10 953
10,438
2011 2013 2015 2017
Ending Year in School Year
a. According to the linear model, what was the average cost of room and board
public four-year colleges for the school year ending in 2017?
The average cost in 2017 was $ 9979
(Round to the nearest dollar as needed.)
b. According to the exponential model, what was the average cost of room and board at public four-year colleges for the school year ending in 2017?
The average cost in 2017 was $
(Round to the nearest dollar as needed.)
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) = 957x + 3280 and g(x) = 3871 e0.135x 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- * 14000Public Colleges 12000-Private Colleges 8 10000- 8000- 5399 6231 73 60004 5 4000- 2000- 10 953 10,438 2011 2013 2015 2017 Ending Year in School Year a. According to the linear model, what was the average cost of room and board public four-year colleges for the school year ending in 2017? The average cost in 2017 was $ 9979 (Round to the nearest dollar as needed.) b. According to the exponential model, what was the average cost of room and board at public four-year colleges for the school year ending in 2017? The average cost in 2017 was $ (Round to the nearest dollar as needed.)
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