Question

Bella and Justin opened new bank accounts. Bella opens an account that has a $3 monthly service fee and charges $1.50 each time she makes a withdrawal with her bank card. Justin opens an account that does not have a monthly service fee, but charges $2 each time he makes a withdrawal with his bank card. Which system of equations could be used to determine how many withdrawals, w, Bella and Justin must make so that the monthly cost, C, of the accounts is the same?

Multiple choice question.

A)
C=1.50w+2C=3w




cross out

B)
C=1.50w+3C=2w




cross out

C)
C=2w+1.50C=3w


D)
C=3w+1.50C=2w

Answer 1

Option B

Explanation:

Let:

w = number of withdrawals

C = Monthly cost

For Bella:

$3 = Fixed monthly charge

$1.50 × w = Amount charged for every withdrawal she makes

∴Linear equation describing her monthly cost:

C = 3 + 1.5w

For Justin:

$0 = Fixed monthly charge

$2 × w = Amount charged for every withdrawal he makes

∴Linear equation describing his monthly cost:

C = 2w

∴System of equations:

C = 3 + 1.5w

C = 2w

∴Option B