The following graph show the average annual college tution 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)=650x^2 + 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 dollars) 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). __________________ In 2020-2021, private college tuition will be increasing or decreasing by $_________ every 5 years. c) From your answer to part (b), estimate how rapidly tuition will be increasing per year in 2020-21. (Enter your answer in dollars per year) $____________ /year
The following graph show the average annual college tution 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)=650x^2 + 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 dollars) 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). __________________
In 2020-2021, private college tuition will be increasing or decreasing by $_________ every 5 years.
c) From your answer to part (b), estimate how rapidly tuition will be increasing per year in 2020-21. (Enter your answer in dollars per year)
$____________ /year
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