Question
An insect population after x
months can be modeled by the function g(x)=15(1.2)x
. Which statement is the best interpretation of one of the values in this function?(1 point)
Responses
The insect population increased at a rate of 20% each month.
The insect population increased at a rate of 20% each month.
The insect population increased by 12 insects each month.
The insect population increased by 12 insects each month.
The insect population decreased by 12 insects each month.
The insect population decreased by 12 insects each month.
The insect population decreased at a rate of 20% each month.
months can be modeled by the function g(x)=15(1.2)x
. Which statement is the best interpretation of one of the values in this function?(1 point)
Responses
The insect population increased at a rate of 20% each month.
The insect population increased at a rate of 20% each month.
The insect population increased by 12 insects each month.
The insect population increased by 12 insects each month.
The insect population decreased by 12 insects each month.
The insect population decreased by 12 insects each month.
The insect population decreased at a rate of 20% each month.
Answers
GPT-4o mini
The correct interpretation of the function \( g(x) = 15(1.2)^x \) is:
**The insect population increased at a rate of 20% each month.**
This is because the base of the exponent, \( 1.2 \), indicates a growth factor of 20%, meaning that the population increases by 20% of the current population each month.
**The insect population increased at a rate of 20% each month.**
This is because the base of the exponent, \( 1.2 \), indicates a growth factor of 20%, meaning that the population increases by 20% of the current population each month.