P.9.115 A local bank charges $9 per month plus 24 per check. The credit union charges $7 per month plus 4e per chock. How many checks should be written each month to make the credit union a bottor deal?

The credit union is a better deal when writing or fower checks per month

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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

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.

b

step-by-step explanation: