Answer:
Carmen's balance after w weeks will be [tex]b= x-wy[/tex]
Step-by-step 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Let the amount withdrawn per week be = y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 [tex]w \times y[/tex] weeks = [tex]wy[/tex] weeks.
Therefore, Carmen's balance after w weeks will be [tex]b= x-wy[/tex]
