Question

Noah wants to sign up for a streaming service. Company A charges a one-time fee of $10 and a costs $6 per month. Company B charges a one-time fee of $20 and costs $3 per month. If x represents the number of months using the service and y represents the total cost of the service, which system of equations represent this situation?

Answer 1

The system of equations representing the total cost for each streaming service based on the number of months used is Company A: y = 10 + 6x, and Company B: y = 20 + 3x.

Step-by-step explanation:

Noah is looking at two different streaming services with different pricing structures. Company A has a one-time fee and a monthly cost, and Company B also has a one-time fee with a different monthly cost. To find the system of equations that represent this situation, we define x as the number of months using the service and y as the total cost of the service.

For Company A, the cost is a one-time fee of $10 plus $6 each month. The equation for Company A would be y = 10 + 6x.

For Company B, the cost is a one-time fee of $20 plus $3 each month. The equation for Company B would be y = 20 + 3x.

Therefore, the system of equations that represent this situation is:

Company A: y = 10 + 6x

Company B: y = 20 + 3x

Answer 2

For company A
6x+10=y
For company B
3x+20=y