Question

Australian glitter ants reproduce so that their population doubles every 15 days. If there are 3 ants initially, the equation is represented by y=3(2)^t/15, where t represents the number of days. Rewrite the equation in the form y=a(1+r)^t and find the daily increase rate represented by r.

Answer 1

4.73%

Explanation:

y = 3×2^(t/15) = 3×(2^(1/15))^t = 3×1.0472941^t

In this form, ...

1 +r = 1.0472941

r = .0472941 ≈ 4.73%

The daily increase is about 4.73%.