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Jacobstoltzfus
10.12.2020 •
Mathematics
I need to know how to solve this inequality
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Ответ:
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