The number of bacteria in a certain population increases according to a continuous exponential growth model, with a growth rate parameter of 5.3% per hour. How many hours does it take for the size of the sample to double?

The size of sample to double after 13.08 hours.

Step-by-step explanation:

Formula of exponential growth

A=The number of bacteria after t time.

= The number of bacteria when t=0.

r= rate of growth

t= time.

The size of the sample will be double.

It means ,

, r= 5.3%=0.053

Taking ln both sides

⇒t=13.08 h

The size of sample to double after 13.08 hours.

2 is the final ! : )