A copy center offers its customers two different pricing plans for black and white photocopies of 8.5 in. by 11 in. pages. Customers can either pay $0.08 per page or pay $7.50 for a discount card that lowers the cost to $0.05 per page. Write and solve an equation to find the number of photocopies for which the cost of each plan is the same.
a
mc056-3.jpg; mc056-4.jpg
b
mc056-1.jpg; mc056-2.jpg
c
mc056-7.jpg; mc056-8.jpg
d
mc056-5.jpg; mc056-6.jpg
Let x represent the number of photocopies made.
For the first plan, the cost is $0.08 per page, so the total cost would be 0.08x.
For the second plan with the discount card, the cost is $0.05 per page, so the total cost would be $7.50 (the cost of the discount card) plus $0.05x.
Setting the two total costs equal to each other:
0.08x = 7.50 + 0.05x
Solving for x:
0.08x - 0.05x = 7.50
0.03x = 7.50
x = 7.50 / 0.03
x = 250
Therefore, the cost of each plan is the same when the number of photocopies is 250. So, the answer is (c) 250.