Question

Duffy's copying center has two pricing options for buying photocopies. One option is to buy a $40.00 annual membership and pay an additional $0.03 per copy for a total cost of ________. The other option is to pay $0.05 per copy with no membership fee. Which system of equations best represents when the two scenarios will cost the same for the same number of copies made, c?

Answer 1

The system of equations to determine when both photocopy pricing options cost the same for a number of copies, c, is 0.03c + 40 = 0.05c (Option 1 equal to Option 2).

Step-by-step explanation:

To determine when both photocopy pricing options will have the same cost for the same number of copies c, we can set up a system of equations that equates the total cost for each option.

The first option has an annual membership fee of $40 plus $0.03 per copy. So, the equation is 0.03c + 40.

The second option has no membership fee but costs $0.05 per copy, which gives us the equation 0.05c.

Therefore, the system of equations representing the scenario when the two options cost the same is:

• 0.03c + 40 = 0.05c (Option 1 equal to Option 2)

We are looking for the number of copies c where the cost of photocopying is the same for both pricing options.