18
QuizMultiple Choice

Exponential and Logarithmic Functions — Test

Question 18 • Mathematics III

A population of insects increases at a rate of 1 point 5 percent per day. About how long will it take the population to double?

Answer
A
66 point 7 days
B
5 point 0 days
C
2 point 5 days
D
46 point 6 days

Explanation

For daily growth of 1.5%, the population is multiplied by 1.015 each day. Solve 1.015^t = 2, which gives t = ln(2) / ln(1.015) ≈ 46.6 days. So the population will take about 46.6 days to double, choice C.

AI-written and checked against the verified answer.

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