Cecily is comparing two checking accounts. Checking account A has a monthly fee of $16 and a per-check fee of $0.08, while checking account B has monthly fee of $14 and a per-check fee of $0.12. She want to know how many checks she would need to write per month for the accounts to charge the same amount in fees.

Part 1: If x represents the number of checks Cecily writes per month, what expression represents the monthly fee in dollars charged by checking account A?

Part 2: What equation can be set up to solve for the number of checks Cecily would need to write per month for the accounts to charge the same in fees?

Question

Mathematics

Sanai

2 May, 08:10

Cecily is comparing two checking accounts. Checking account A has a monthly fee of $16 and a per-check fee of $0.08, while checking account B has monthly fee of $14 and a per-check fee of $0.12. She want to know how many checks she would need to write per month for the accounts to charge the same amount in fees.

Part 1: If x represents the number of checks Cecily writes per month, what expression represents the monthly fee in dollars charged by checking account A?

Part 2: What equation can be set up to solve for the number of checks Cecily would need to write per month for the accounts to charge the same in fees?

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Answers (1)

Know the Answer?

Clark Johnson · Answer 1

Total charge per month = $ 16 + (0.08) * x

equation for having same charge

0.08 x - 0.12 y = 8

Step-by-step explanation:

Part 1:

Monthly fee = $ 16

Per check fee = $ 0.08

Checks signed in month = x

Total Charge monthly = Monthly fee + Checks fee

Putting the values

Total charge per month = 16 + (0.08) * x ... (i)

Part 2: Let she signs y checks for account B

Monthly fee of B = $ 14

per check fee = @ 0.12

Total Charge = monthly fee + checks fee

= $ 14 + y * (0.12) ... (ii)

For having same value in the bank then equation (i) and (ii) shuld be equal to each other

i. e.

16 + 0.08x = 24 + 0.12y

0.08 x - 0.12 y = 24-16

0.08 x - 0.12 y = 8

this will be the equation