Question

question 3 of 25
checking account a charges a monthly fee of $10 and a per-check fee of $0.10, and checking account b charges a monthly fee of $12 and a per-check fee of $0.05. how many checks would a person have to write for the two accounts to cost the same?

a. 50

b. 55

c. 35

d. 40

Explanation:

Step1: Define variables

Let \( x \) be the number of checks. The cost for account A is \( C_A = 10 + 0.10x \), and for account B is \( C_B = 12 + 0.05x \).

Step2: Set costs equal

Set \( 10 + 0.10x = 12 + 0.05x \).

Step3: Solve for \( x \)

Subtract \( 0.05x \) from both sides: \( 10 + 0.05x = 12 \).
Subtract 10 from both sides: \( 0.05x = 2 \).
Divide by 0.05: \( x = \frac{2}{0.05} = 40 \).

Answer:

D. 40