For selected years from 1960 to 2008 the data in the table

Question

Paved roads suppose the rate of change of the percent P of U.S. public roads that are paved can be modeled by

dP/dt = [938.9/(0.0852t+35.5)²]

percentage points per year, where t is the number of years past 1960.

(a) Use integration and the data point for 2000 to find the function P(t) that models the percent of public roads that are paved.

(b) For selected years from 1960 to 2008, the data in the table show the percent of U.S. public roads that are paved. With t = 0 representing 1960, graph these data and the model found in part (a).

(c) Find the model's predicted percent for 2015.