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Correct Question
A local bank charges $9 per month plus 2c per check. The credit union charges $7 per month plus 4cper check. How many checks should be written each month to make the credit union a better deal?
The credit union is a better deal when writing fewer checks per month
Answer:
Writing between 0 to 99 checks makes the credit union a better deal.
Step-by-step explanation:
Let the number of checks be represented by x
Note, 1 cent = $0.01
A local bank charges $9 per month plus 2c per check.
2c = $0.02
$9 + 0.02× x
= 9 + 0.02x
The credit union charges $7 per month plus 4c per check.
4c = $0.04
= $7 + 0.04 × x
= 7 + 0.04x
The credit union is a better deal when writing fewer checks per month
Hence:
Credit union < Local bank
7 + 0.04x < 9 + 0.02x
Collect like terms
0.04x - 0.02x < 9 - 7
0.02x < 2
x < 2/0.02
x < 100 checks
Hence, writing less than 100 checks (i.e writing between 0 to 99 checks) makes the credit union a better deal.
