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

B) 0 ≤ x ≤ 31

Step-by-step explanation:

We are looking for a reasonable domain for the function, the domain is x which represents the number of days in the month of October. October has 31 days so x can't be greater than 31, and days can't be represented by a negative number. So, the reasonable domain for the function can't be greater than 31 or less than 0, so the answer is B) 0 ≤ x ≤ 31.

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