Acopy 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) .08c .05c - 7.50; c = 250

b) . 05c .08c + 7.50; c = 22.5

c) 7.50 = .08c + 05c; c = 58

d) .08c = .05c + 7.50; c = 250

Writting the equation and solving it, the answer is option D) .08c = .05c + 7.50; c = 250

Solution:

If the number of photocopies is c

Plan 1: Customers can pay $0.08 per page

The cost with plan 1 is: C1=0.08c

Plan 2: Customers can pay $7.50 for a discount card that lowers the cost to $0.05 per page.

The cost with plan 2 is: C2=7.50+0.05c

We want to find the number of photocopies for which the cost of each plan is the same, then we equal the cost of each plan:

C1=C2

Replacing C1 by 0.08c and C2 by 7.50+0.05c

0.08c=7.50+0.05c

Solving this equation for c: Subtracting 0.05c both sides of the equation:

0.08c-0.05c=7.50+0.05c-0.05c

Subtracting:

0.03c=7.50

Dividing both sides of the equation by 0.03

0.03c/0.03=7.50/0.03

c=250

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step-by-step explanation: