Solve the problem.
-The growth in the population of a certain rodent at a dump site fits the exponential function $\mathrm { A } ( \mathrm { t } ) = 862 \mathrm { e } 0.032 \mathrm { t }$, where $t$ is the number of years since 1963. Estimate the population in the year 2000 .
A) 2817
B) 2908
C) 890
D) 1409

Question

Quizplus · Accepted Answer

To estimate the population in the year 2000, we substitute $t = 2000 - 1963 = 37$ years into the given exponential function: $A(37) = 862e^{0.032 \times 37}$. Calculating this gives approximately 2817.

Solve the Problem A(t)=862e0.032t\mathrm { A } ( \mathrm { t } ) = 862 \mathrm { e } 0.032 \mathrm { t }A(t)=862e0.032t

Solve the Problem $\mathrm { A } ( \mathrm { t } ) = 862 \mathrm { e } 0.032 \mathrm { t }$