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

Answer:

Step-by-step 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