Question #349161

Initially, there are 1 million bacteria present in a Petri dish. After 2 minutes, there are already 5 million of them. If the bacterial population follows a law of natural growth, how many bacteria should be present in the Petri dish after 5 minutes?

Expert's answer

Population grows according to the function

Given

"P(2)=5000000"

Substitute

"e^k=\\sqrt{5}"

"P(t)=1000000(\\sqrt{5})^t"

"P(5)=1000000(\\sqrt{5})^5"

"P(5)=1000000(5\\sqrt{5})"

"P(5)=11180340"

11180340 bacteria should be present in the Petri dish after 5 minutes.

Learn more about our help with Assignments: Differential Equations

## Comments

## Leave a comment