The population growth of an animal species is described by $\mathrm { F } ( \mathrm { t } ) = 400 \log ( 2 \mathrm { t } + 3 )$ where t is measured in months. Find the population of this species in an area 6 months after the species is introduced.
A) 704
B) 470
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: $F(6) = 400 \log(2(6) + 3) = 400 \log(15)$. Using a calculator to evaluate $400 \log(15)$ gives approximately 470.

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