(Answered) Paved roadsfor selected years from 1960 to 2008 the table

Engineering

Paved roads

For selected years from 1960 to 2008, the table shows the percent of public roads that were paved.

444_Paved roads.png

Assume these data can be modeled with the function

where P(t) is the percent of paved roads and t is the number of years past 1960.

(a) Find the function that gives the instantaneous rate of change of this model.

(b) Find and interpret the instantaneous rate of change of the percent of paved roads in 2008.

(c) Use the data in the table to find the average rate of change of the percent of paved roads from 2006 to 2008. How well does this approximate the instantaneous rate found in part (b)?

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