The population growth of an animal species is described by $F ( t ) = 400 \log ( 2 t + 3 )$ where $t$ is measured in months. Find the population of this species in an area 6 months after the species is introduced.
A) 470
B) 74
C) 240
D) 704

Question

Quizplus · Accepted Answer

To find the population 6 months after the species is introduced, substitute $t = 6$ into the given function: $F(6) = 400 \log(2(6) + 3) = 400 \log(15)$. Using a calculator to find the logarithm and then multiplying by 400 gives a result close to 470.

The Population Growth of an Animal Species Is Described By F