The population growth of an animal species is described by $F(t)=700+90 \log 3(2 t+1)$ where $t$ is the number of months since the species was introduced. Find the population of this species in an area 4 month(s) after the species is introduced.
A) 450
B) 775
C) 880
D) 1510

Question

Quizplus · Accepted Answer

To find the population 4 months after introduction, substitute $t = 4$ into the function: $F(4) = 700 + 90 \log_3(2(4) + 1) = 700 + 90 \log_3(9)$. Since $\log_3(9) = 2$, the calculation becomes $700 + 90 \times 2 = 700 + 180 = 880$.

The Population Growth of an Animal Species Is Described By F(t)=700+90