Solve the problem.
-The growth in the population of a certain rodent at a dump site fits the exponential function $A(t)=599 e^{0.02 t}$, where $t$ is the number of years since 1967. Estimate the population in the year 2000.
A) 580
B) 1182
C) 1159
D) 611

Question

Quizplus · Accepted Answer

To find the population in the year 2000, calculate $t$ as 2000 - 1967 = 33 years. Substitute $t = 33$ into the function: $A(33) = 599 e^{0.02 \times 33}$. This evaluates to approximately 1159.

Solve the Problem A(t)=599e0.02tA(t)=599 e^{0.02 t}A(t)=599e0.02t , Where ttt Is the Number of Years Since 1967

Solve the Problem $A(t)=599 e^{0.02 t}$ , Where $t$ Is the Number of Years Since 1967