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?

Please use the Formula: Future Amount + [ ](1+__)^[ ]

Answer 1

7680 rabbits

Explanation:

Let y represent the number of rabbits after x days and let x represent the number of days. This is an exponential growth equation in the form:

`y=ab^x`

Since there is an initial value of 26 rabbits on the farm and the rabbits double every 30 days, hence the equation becomes:

`y=26(2^{((x)/(30) )})\\\\for\ 240\ days, i.e\ x=240:\\\\y=26(2^(240)/(30) )\\\\y=7680\ rabbits`