Hank is going from classroom-to-classroom and asking students to sign up for his streaming service called Fetch. He charges each student $6 to establish an account and $3 per month to use the streaming service. Which function represents the amount of money that Hank earns in the first month from each student?

Responses

f(m)=6m+3
f of m is equal to 6 m plus 3

f(m)=3m+6
f of m is equal to 3 m plus 6

f(m)=6m−3
f of m is equal to 6 m minus 3

f(m)=3m−6

f of m is equal to 3 m minus 6

The function that represents the amount of money that Hank earns in the first month from each student is f(m) = 3m + 6.

To determine the function that represents the amount of money Hank earns in the first month from each student, we need to consider the charges for establishing the account and the monthly fee.

The charge for establishing the account is a one-time fee of $6 per student. This means the total amount of money earned from each student for the account setup is 6.

In addition, there is a monthly fee of $3 per student. Since we are calculating the amount earned in the first month, we only need to consider this fee once.

To summarize, the function that represents the amount of money Hank earns in the first month from each student is f(m) = 6 + 3m, where m represents the number of students signing up for the streaming service.

Therefore, the correct function is f(m) = 6m + 3.