(Solved): 5. Grass clippings are placed in a bin, where they decompose. For \( 0 \leq t \leq 30 \), the amou ...

5. Grass clippings are placed in a bin, where they decompose. For \( 0 \leq t \leq 30 \), the amount of clippings remaining in the bin is modeled by \( A(t)=6.687(0.931)^{t} \), where \( A(t) \) is measured in pounds and \( t \) is measured in days. a.) Find the average rate of change of \( A(t) \) over the interval \( 0 \leq t \leq 30 \). Indicate the units of measurement. \[ \frac{7.824-6.687}{30} \quad 0.038 \] b.) Find the value of \( A^{\prime}(15) \). Using correct units, interpret the meaning of the value in the context of the problem.