asked 159k views
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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?

asked
User Reschu
by
7.9k points

1 Answer

3 votes

Answer:

9.5 months

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

answered
User Vince Yuan
by
8.2k points
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