Question

Rabbit populations can double every 30 days. If there are 26 rabbits on a farm, how many rabbits will be on the farm after 240 days? First complete the equation

Answer 1

Population doubles every 30 days

initial population = 26

So after 30 days the population will be 52

Now the formula is
`A= Pe^(rt)`

So
`52 = 26 e^(r(30))`

divide both sides by 26 , we get

`2=e^{r(30)`

or

ln(2)= 30r

divide both sides by 30

`r=(ln(2))/(30)`

So equation should be
`A= 26 * e^{(ln(2))/(30)t}`

Now to find population after 240 days plug t = 240

`A= 26 * e^{(ln(2))/(30)240}`

And plug in calculator

A = 6656