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 byf(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 thesefunctions to complete parts (a) through (c) below.Average Cost of Room and Board at Four-YearColleges16000-* 14000Public Colleges12000-Private Colleges8 10000-8000- 5399 6231 7360004 54000-2000-10 95310,4382011 2013 2015 2017Ending Year in School Yeara. According to the linear model, what was the average cost of room and boardpublic 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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Description: 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 byf(x) = 957x + 3280 and g(x) = 3871 e0.135x in which f(x) and g(x)

Given: A bar graph showing the avearage cost of room and board at four-year public and private…

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Algebra

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.)

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.)

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Concept explainers

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.

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Question

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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