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?

Question

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?

Answer 1

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

Answer 2

To determine the amount of money that Hank earns in the first month from each student, we need to calculate the total cost including the account establishment fee and the monthly fee.

Let's break down the costs:
- Hank charges each student $6 to establish an account.
- For each month, Hank charges an additional $3 to use the streaming service.

Hence, the total cost for the first month can be calculated using the function: f(x) = 6 + 3x, where x represents the number of students.

For example, if there are 10 students who sign up for the service in the first month, then the amount of money Hank earns from each student can be calculated by substituting x=10 into the function: f(10) = 6 + 3(10) = 6 + 30 = 36 dollars.

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

Answer 3

To calculate the amount of money that Hank earns in the first month from each student, we need to consider the initial account establishment fee of $6 and the monthly fee of $3.

Let's represent the number of students as "x".

Hank charges each student $6 to establish an account, so the revenue from the initial account establishment fee for each student is 6 dollars.

In addition, he charges $3 per month from each student, so the revenue from the monthly fee for each student is 3 dollars.

To find the total amount of money that Hank earns in the first month from each student, we need to sum up the initial account establishment fee and the monthly fee.

So, the function representing the amount of money Hank earns in the first month from each student is:

f(x) = 6 + 3 * x

Where:
- f(x) represents the amount of money Hank earns in the first month from each student
- x represents the number of students.