30,000 25,000 20,000 15,000 private 10,000 5000 public 2005-2006 2010-2011 1995-1996 Year Tuition ($) 2000-2001

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 82E
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The following graph shows the average annual college tuition costs (tuition and fees) for a year at a private nonprofit or public four-year college. The data are given for five-year intervals.

 

The tuition for a private college is approximated by the function 

f(x) = 650x2 + 3000x +12,000,

 where x is the number of five-year intervals since the academic year 1995-96 (so the years in the graph are numbered 

x = 0

 through 

x = 3).
(a) Use this function to predict tuition in the academic year 2020-21. [Hint: What x-value corresponds to that year?]


(b) Find the derivative of this function for the x-value that you used in part (a).


Interpret it as a rate of change in the proper units.
In 2020-2021, private college tuition will be  ---Select---  increasing decreasing by $  every 5 years.

(c) From your answer to part (b), estimate how rapidly tuition will be increasing per year in 2020-21.
30,000
25,000
20,000
15,000
private
10,000
5000
public
2005-2006
2010-2011
1995-1996
Year
Tuition ($)
2000-2001
Transcribed Image Text:30,000 25,000 20,000 15,000 private 10,000 5000 public 2005-2006 2010-2011 1995-1996 Year Tuition ($) 2000-2001
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