Question

The growth model for a population of bacteria is given as P(t) = 35e2t where t is measured in days. How many days will it take until the number of bacteria has exceeded 17,500

Answer 1

Explanation:

Given that the growth model for a population of bacteria is given as where t

`P(t) = 35e^(2t)`

is measured in days.

We have to find the number of days it would take to reach a number >17500

i.e. when P exceed 17500

`35e^(2t)>17500\\log 35+2t>log 17500\\2t >6.2146\\t>3.1073`

After 3.1 days the bacteria would exceed 17500