77. The yearly cost of tuition (in-state) and required fees for attending a public two-year college full time can be esti-

mated by the linear function f(x) = 64x + 2083, where x

is the number of years after 2000 and f(x) is the total cost.

(Source: The College Board)

a. Use this function to approximate the yearly cost of

attending a two-year college in the year 2016. (Hint: Find

f(16).]

b. Use the given function to predict in what year the yearly

cost of tuition and required fees will exceed $3200. [Hint:

Let f(x) = 3200, solve for x, then round your solution

up to the next whole year.]

c. Use this function to approximate the yearly cost of

attending a two-year college in the present year. If you

attend a two-year college, is this amount greater than or

less than the amount that is currently charged by the col-

lege you attend?