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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Question
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.
(c) From your answer to part (b), estimate how rapidly tuition will be increasing per year in 2020-21.
$
$
(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.
$
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