The number of acres in a landfill is given by the function $B=9500 e^{-0.04 t}$, where $t$ is measured in years. How many acres will the landfill have after 3 years? (Round to the nearest acre.)
A) 8748
B) 8426
C) 20,143
D) 7206

Question

Quizplus · Accepted Answer

To find the number of acres after 3 years, substitute $t = 3$ into the function: $B = 9500 e^{-0.04 \times 3}$. Calculate $B = 9500 e^{-0.12}$. Using a calculator, $e^{-0.12} \approx 0.8869$. Thus, $B \approx 9500 \times 0.8869 \approx 8426$.

The Number of Acres in a Landfill Is Given by the Function