The bar graph on the right shows the average cost of room and board at four-year public and private colleges for fourselected years from 2011 through 2017. The data can be modeled by f(x) = 955x + 3246 and g(x) = 3913 e 0.134x inwhich f(x) and g(x) represent the average cost of room and board at public four-year colleges in the school year endingyears after 2010. Use these functions to complete parts (a) through (c) below.Average Cost of Room and Board at Four-YearColleges16000-6 14000-Public Colleges12000- Private Colleges10000-8000- 5s10.600046214000-2000-10.99410,27579745901751651620-2011201320152017Ending Year in School Yeara. 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 2011?The average cost in 2011 was $ 4201.(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 2011?The average cost in 2011 was $.(Round to the nearest dollar as needed.)Average Cost ($)

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) = 955x + 3246 and g(x) = 3913 e 0.134x 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-Yea Colleges 16000- 6 14000- Public Colleges 12000- Private Colleges10,275 7974 5901 7516 10,994 10000- 8000 5510 5162 * 6000621 4000- 2000- 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 2011? The average cost in 2011 was $ 4201 . (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 2011? The average cost in 2011 was $ (Round to the nearest dollar as needed.) Average Cost ($)

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) = 955x + 3246 and g(x) = 3913 e 0.134x 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-Yea Colleges 16000- 6 14000- Public Colleges 12000- Private Colleges10,275 7974 5901 7516 10,994 10000- 8000 5510 5162 * 6000621 4000- 2000- 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 2011? The average cost in 2011 was $ 4201 . (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 2011? The average cost in 2011 was $ (Round to the nearest dollar as needed.) Average Cost ($)

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Concept explainers

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.

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) = 955x + 3246 and g(x) = 3913 e 0.134x 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
years after 2010. Use these functions to complete parts (a) through (c) below.
Average Cost of Room and Board at Four-Year
Colleges
16000-
6 14000-Public Colleges
12000- Private Colleges
10000-
8000- 5s10.
60004621
4000-
2000-
10.994
10,275
7974
5901
7516
5162
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 2011?
The average cost in 2011 was $ 4201.
(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 2011?
The average cost in 2011 was $.
(Round to the nearest dollar as needed.)
Average Cost ($)

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