Question

The rabbit population in a forest area grows at the rate of 9% monthly. If there are 260 rabbits in July, find how many rabbits (rounded to the nearest whole number) should be expected by next July.

Answer 1

To solve this problem, we can use the formula:

P = P₀ (1 + r)ⁿ

where:
- P₀ is the initial population (260 rabbits)
- r is the growth rate (9% or 0.09)
- n is the number of time periods (12 months)

So, substituting these values into the formula:

P = 260(1 + 0.09)¹²
P = 260(1.09)¹²
P ≈ 807.49

Rounding the answer to the nearest whole number, we get:

P ≈ 807 rabbits

Therefore, we can expect about 807 rabbits in the forest area by next July.

Answer 2

Answer: 594 Rabbits

Explanation:

To solve this problem, we can use the formula for exponential growth:

A = P(1 + r)^t

where A is the final amount, P is the initial amount, r is the monthly growth rate (as a decimal), and t is the number of months.

In this case, we know that the initial amount (in July) is 260, the monthly growth rate is 9% or 0.09, and we want to find the final amount after 12 months (from July to next July).

So we have:

A = 260(1 + 0.09)^12

A ≈ 593.87

Rounding to the nearest whole number, we get:

A ≈ 594

Therefore, we can expect about 594 rabbits by next July.