Solve the problem.
-The growth in the population of a certain rodent at a dump site can be modeled by the exponential function $A(t)=141 e^{0.027} t$, where $t$ is the number of years since 1972. Estimate the population in the year 2000 .
A) 150
B) 309
C) 145
D) 300

Question

Quizplus · Accepted Answer

To estimate the population in the year 2000, we substitute $t = 2000 - 1972 = 28$ years into the given exponential function: $A(28) = 141e^{0.027 \times 28}$. Calculating this gives a value close to 300, making option D the correct answer.

Solve the Problem A(t)=141e0.027tA(t)=141 e^{0.027} tA(t)=141e0.027t , Where ttt Is the Number of Years Since 1972

Solve the Problem $A(t)=141 e^{0.027} t$ , Where $t$ Is the Number of Years Since 1972