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

Question

Quizplus · Accepted Answer

To find the population 6 months after the species is introduced, substitute $t = 6$ into the given function: $F(6) = 400 \log(2(6) + 3) = 400 \log(15)$. Calculating this gives a value close to 470, hence option A is correct.

Solve the Problem F(t)=400log⁡(2t+3)\mathrm { F } ( \mathrm { t } ) = 400 \log ( 2 \mathrm { t } + 3 )F(t)=400log(2t+3)

Solve the Problem $\mathrm { F } ( \mathrm { t } ) = 400 \log ( 2 \mathrm { t } + 3 )$