The growth in the population of a certain rodent at a dump site can be modeled by the exponential function $\mathrm{A}(\mathrm{t})=320 \mathrm{e}^{0.025 \mathrm{t}}$, where $\mathrm{t}$ is the number of years since 1986. Estimate the rodent population in the year 2000.
A) 328 rodents
B) 227 rodents
C) 466 rodents
D) 454 rodents

Question

Quizplus · Accepted Answer

To find the rodent population in the year 2000, calculate $\mathrm{A}(14)$ since 2000 is 14 years after 1986. $\mathrm{A}(14) = 320 \mathrm{e}^{0.025 \times 14} \approx 454$ rodents.

The Growth in the Population of a Certain Rodent at a Dump