The table shows the cost of tuition and fees M (in dollars) at public four-year universities for selected years.

(a) Use a graphing utility to find an exponential model M₁ for the data. Let t = 0 represent 1980.
(b) Use a graphing utility to find a linear model M₂ for the data. Let t = 0 represent 1980.
(c) Which model fits the data better? Explain.
(d) Use the exponential model to predict when the cost of tuition and fees will be $15,000. Does the result seem reasonable? Explain.

Transcribed Image Text:

Year Cost, M Year Cost, M 1980 2320 2918 1985 1990 1995 3492 4399 2000 2005 4845 6708 2010 8351 2015 9410