Question

A culture is grown with a population of 45 million cells. The cell population is found to double every hour. What will the population be after four hours?

Answer 1

The population will be 360 million people after four hours

Answer 2

45 million *
`2^(4)` = 45million * 16 = 720million

Or you can use

`y=Ae^(kt)`
A is equal to 45 million
To find the rate, k, we can plug in:

`90million=45million*e^(k*1)`

`2=e^(k)`

`k=ln(2)`

`y=4.5*10^(7)*e^(t *ln2)`
Knowing that t = 4

`y = 4.5*10^(7)*e^(ln(2)*4)`

`y = 720 million`