Question

Carmen and Ryan each opened savings account today. Carmen opened her account with a starting amount of $160, and she is going to put in $50 per month.Ryan opened his account with no starting amount, and he is going to put in S90 per month.Let x be the number of months after today.(a) For each account, write an expression for the amount of money inthe account after x months.X5Amount of money in Carmen's account (in dollars) – 0Amount of money in Ryan's account (in dollars) = 0?(b) Write an equation to show when the two accounts have the sameamount of money.

Answer 1

Data:

x: number of months

Carmen's account

Initial amount: x=0: $160

Amount per month: $50x

Amount of money in Carmen's account (in dollars)= 50x + 160

Ryan's account:

Initial amount: x=0: $0

Amount per month: $90x

Amount of money in Ryan's acount (in dollars)= 90x-----------------b) An equation that shows when two accounts have the smae amount of money is:$50x+160=90x$