Question

joe and jenny each opened a savings account today. joe opened his account with a starting amount of $510, and he is going to put in $80 per month. jenny opened her account with a starting amount of $590, and she is going to put in $60 per month. let x be the number of months after today. (a) for each account, write an expression for the amount of money in the account after x months. amount of money in joes account (in dollars) = amount of money in jennys account (in dollars) = (b) write an equation to show when the two accounts would have the same amount of money.

Explanation:

Step1: Joe's Account Expression

Joe starts with $510 and adds $80 monthly. So total is starting + monthly*months: $510 + 80x$.

Step2: Jenny's Account Expression

Jenny starts with $590 and adds $60 monthly. So total is $590 + 60x$.

Step3: Equation for Same Amount

Set Joe's and Jenny's expressions equal: $510 + 80x = 590 + 60x$.

Answer:

(a) Amount of money in Joe's account: $510 + 80x$
Amount of money in Jenny's account: $590 + 60x$
(b) Equation: $510 + 80x = 590 + 60x$