Question

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

A population of bacteria is growing according to the exponential model P = 100e^(.70)t, where P is the number of colonies and t is measured in hours. After how many hours will 300 colonies be present? [Round answer to the nearest tenth.]

Answer 1

Answer: B) 1.6

Explanation:

`P=100e^((.70)t)\\\\\text{It is given that P = 300}\\300=100e^((.70)t)\\\\\text{Divide both sides by 100}:\\3=e^((.70)t)\\\\\text{Apply ln to both sides to eliminate e}:\\ln(3)=0.7t\\\\\\\text{Divide both sides by 0.7 to solve for t}:\\(ln(3))/(0.7)=t\\\\1.569=t`