Zelda has 8 rabbits with which to start an animal farm. If the rabbit population doubles each month, in how many months will the rabbit population be 5,800?

9.5 months

Step-by-step explanation:

We would be using the expression

y = abⁿ

Where

a = starting number = 8 rabbits

b = rate of change = the number of rabbits doubles = 2

n = number of time intervals that has passed = unknown = number of months

y = rabbit population = 5800

y = abⁿ

5800 = 8 × 2ⁿ

Divide both sides by 8

5800 ÷ 8 = 2ⁿ

725 = 2ⁿ

n = 9.5 months.

Therefore, the number of months in which the rabbit population would reach 5,800 is 9.5 months