Question

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?

Answer 1

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.

Answer: 7 weeks