Question

The logistic growth model p(t)=150/1+2.33e^-0.341t represents the population of a bacterium in a culture tube after t hours. What was the initial amount of bacteria in the population? Round to the nearest whole number

Answer 1

45

Explanation:

The growth model is represented by:

p(t)=150/(1+2.33e^-0.341t)

with t in hours. To find the inicial amount of bacteria, we just need to find p(0), that is, the population of bacteria in the inicial time t = 0.

So, we have that:

p(0) = 150 / (1 + 2.33 * e^(-0.341*0))

p(0) = 150 / (1 + 2.33 * e^0)

p(0) = 150 / (1 + 2.33 * 1)

p(0) = 150 / (3.33)

p(0) = 45

The inicial amount of bacteria in the population is 45.