Answer:
4.9 months
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 ×
![(1+r)^(n)](https://img.qammunity.org/2022/formulas/mathematics/high-school/pqc699cqepz6azmfjxcl4r3mstfxlunrhd.png)
By putting the value, we get
2×300 = 300 ×
![(1+0.1525)^(n)](https://img.qammunity.org/2022/formulas/mathematics/high-school/d8asu1so171ijmkvlec21ju4dxf4simfi7.png)
2 =
![1.1525^(n)](https://img.qammunity.org/2022/formulas/mathematics/high-school/livbj7w4afrfsjxrqhluwkn62dkhvcqc3u.png)
By solving the equation further, we get
n = 4.9 months
Hence, it will take 4.9 months to double the number of bunnies.