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

The second option  is the reasonable domain for f(x).

f(x) represents the population or number of a fish in the river during the month of October. So the x values should show the number of days of October. There are 31 days in October, so maximum value x should take is 31. Minimum value should be 0 which represents the population at the start of October. Therefore, the domain of f(x) will be .

31 is prime. and it’s prime factorization is just 31.