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

Answer:

7680 rabbits

Step-by-step 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:

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