Tony has $54.60 in his bank account and plans to add to it each week when he gets paid. The total amount of money in his account can be modeled by this equation with y representing the total amount, in dollars, and x representing the time, in weeks, that he has been adding money to the account. y = 23.50x + 54.60 After how many weeks will the total amount in Tony's account be $219.10?
Given equation: y=23.50x + 54.60 Where y is the total amount in bank and x is the time in weeks. Put value of y=219.10 and solve for x. 219.1=23.50x+54.60 Subtract 54.60 from both sides 164.5=23.5x Divide both sides by 23.5 7=x or x=7 So, after 7 weeks the amount in Tony's account will be $219.10.