Question

In the month of October, the population of a species of fish in a river increased by a factor of 1.05 every day. The function below shows the number of fish in the river f(x) after x days:

f(x) = 100(1.05)x

Which of the following is a reasonable domain for the function?

0 ≤ x ≤ 100
0 ≤ x ≤ 31
All positive integers greater than 100
All positive integers less than 100

Answer 1

The answer is: 0 ≤ x ≤ 31

Explanation:

Answer 2

The initial value here is 100. That means that the pond started out with 100 fish and grew at the rate of 1.05 per day. x is the number of days. Assuming that there is nothing killing the fish that are already in the pond, the domain for the function would be all positive integers greater than 100.