# calculus

This problem requires a calculator. Enter answers as decimals.

Grass clippings are placed in a bin, where they decompose. The amount of grass clippings measured in kilograms is modeled by A(t)=7.0(0.95)t, where t is measured in days.

(a) Find the average rate of change of A(t) over the interval 0≤t≤30, in kilograms per day.

- sin responder

(b) Find the value of A′(15).

- sin responder

(c) Let L(t) be the linear approximation to A at t=15. Use L(t) to predict the time at which there will be no grass clippings remaining.

(Round to nearest integer.)
- sin responder

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