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.

Question

Mathematics

Alfredo

30 January, 13:47

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.

+1

Answers (1)

Know the Answer?

Jared Mason · Answer 1

4.73%

Step-by-step 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%.