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?

Question

Mathematics

Jake Davidson

12 November, 11:32

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?

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Answers (1)

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Addison Haynes · 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