Choose the one alternative that best completes the statement or answers the question.
-The logistic growth model $\mathrm { P } ( \mathrm { t } ) = \frac { 1,450 } { 1 + 28 \mathrm { e } ^ { - 0.313 \mathrm { t } } }$ represents the population of a bacterium in a culture tube after $\mathrm { t }$ hours. What was the initial amount of bacteria in the population?
A) 55
B) 50
C) 49
D) 51

Question

Quizplus · Accepted Answer

The initial amount of bacteria is found by evaluating the logistic growth model at $ t = 0 $. Substituting $ t = 0 $ into the equation gives $ P(0) = \frac{1450}{1 + 28e^{0}} = \frac{1450}{1 + 28} = \frac{1450}{29} = 50 $.

Choose the One Alternative That Best Completes the Statement or Answers