The growth in the population of a certain rodent at a dump site fits the exponential function $A ( t ) = 102 e ^ { 0.018 t }$ where t is the number of years since 1965. Estimate the population in the year 2000.
A) 96
B) 195
C) 104
D) 192

Question

Quizplus · Accepted Answer

To estimate the population in the year 2000, we substitute $t = 2000 - 1965 = 35$ years into the exponential function $A(t) = 102e^{0.018t}$. Thus, $A(35) = 102e^{0.018 \times 35}$. Calculating this gives a value close to 192, making option D the correct answer.

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