Question

A sample of bacteria is growing at an hourly rate of 10% compounded continuously. The sample began with 4 bacteria. How many bacteria will be in the sample after 18 hours?

Answer 1

24

Explanation:

The computation of the number of bacteria in the sample after 18 hours is shown below:

We assume the following things

P = 4 = beginning number of bacteria

rate = r = 0.1

Now

We applied the following formula

`A = Pe^(rt)`

`= 4* e^(18*0.1)`

`=4e^(1.8)`

`= 4*6.049647464`

= 24

We simply applied the above formula to determine the number of bacteria after the 18 hours