Question

A bacteria population is initially 320. After 45 minutes, they've grown in number to 700. What is the doubling time for this population? Round to the nearest second. answer choices 39 minutes 41 seconds 39 minutes 31 seconds 39 minutes 21 seconds 39 minutes 51 seconds

Answer 1

Answer: 39 minutes 51 seconds

Step-by-step explanation:

Nt=N0 * 2^n

N0=Initial population

n=number of times bacteria divide

700=320*2^n

log2(700/320)=1.129283017=n

45/1.129283017=39.84829252 minutes

0.84829252*60=50.89755135≈51seconds

so the answer is

39minutes and 51seconds