Question

An insect population after x months can be modeled by the function g(x) = 18(1.3)x. Which statement is the best interpretation of one of the values in this function?

The insect population increased by 13 insects each month.
G.
The insect population decreased by 13 insects each month.
H.
The insect population increased at a rate of 30% each month.
J.
The insect population decreased at a rate of 30% each month.

Answer 1

The function g(x) = 18(1.3)^x represents an exponential growth model for the insect population after x months, where the initial population is 18 and the population growth rate is 30% per month.

Therefore, the best interpretation of one of the values in this function is:

The insect population increased at a rate of 30% each month.

This is because the value of 1.3 represents the growth factor or rate, which is equivalent to a 30% increase in population for each time period (in this case, each month).