Educational Funding—College Donations: For the model in Exercise 1, write the equation of the tangent line of f at the point (20, f(20)) then evaluate the tangent line equation when x = 30. Interpret the meaning of this ordered pair.
Exercise 1
Educational Funding—College Donations: Many colleges and universities benefit from significant contributions from local philanthropists. “There are a group of people who give to have their names on buildings, and that’s the easiest place to have your name on a building,” says Edward H. Merrin, an art dealer who tops the donor list at Tufts University. (Source: The Chronicle of Philanthropy.) The annual amount of donations to college and universities from 1991 to 2011 can be modeled by
f(x) = 7.7 + 10.54 ln x 1 ≤ x ≤ 21
where x represents the number of years since 1990 and f(x) represents the amount of donations to colleges and universities, measured in billions of dollars. (Source: Giving USA Foundation.)
(a) Determine f′(x).
(b) Evaluate f′(20) and interpret.
We need at least 10 more requests to produce the solution.
0 / 10 have requested this problem solution
The more requests, the faster the answer.