Question

Carmen initially has money in her bank account. Each week she withdraws the same amount of money from her account. Write an equation that relates b, her account balance after w weeks.

Answer 1

Carmen's balance after w weeks will be
`b= x-wy`

Explanation:

Let the initial money in Carmen's bank account be = x

Her account balance be denoted with b,

the number of weeks be = w

Let the amount withdrawn per week be = y

After one week, If Carmen withdraws some money, the money left in the account will be

b = x-y

After week two, the money left will be

b = x-y-y

After week three, the money left will be

b= x-y-y-y

We are beginning to notice a trend here, that the amount of money left in the account, is constantly reducing by y every week.

After w weeks, the money taken will be
`w * y` weeks =
`wy` weeks.

Therefore, Carmen's balance after w weeks will be
`b= x-wy`