Mrs. Galicia is creating a bunny farm. The farm starts with 300 bunnies and is growing at a rate of 15.25% per

month. How many months will it take for the farm to double in size?

Respuesta :

Answer:

4.9 months

Step-by-step explanation:

According to the scenario, computation of the given data are as follows,

Number of bunnies present (a) = 300

Growth rate (r) = 15.25% per month

Bunnies after n months (Pn)= 2×a = 2× 300

So, we can calculate the months by using following formula

Pn = a ×[tex](1+r)^{n}[/tex]

By putting the value, we get

2×300 = 300 × [tex](1+0.1525)^{n}[/tex]

2 = [tex]1.1525^{n}[/tex]

By solving the equation further, we get

n = 4.9 months

Hence, it will take 4.9 months to double the number of bunnies.