SOLUTION: Frank is buying a laptop for $650 to use for school. He is going to purchase the computer on credit—he’ll pay $45 per month toward the balance. Write and graph an equation to r

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Frank is buying a laptop for $650 to use for school. He is going to purchase the computer on credit—he’ll pay $45 per month toward the balance. Write and graph an equation to r      Log On


   



Question 1171089: Frank is buying a laptop for $650 to use for school. He is going to purchase the computer on credit—he’ll pay $45 per month toward the balance. Write and graph an equation to represent how much money Frank owes on his laptop over time. Then calculate how many months it would take Frank's balance to be $290.
Found 2 solutions by Boreal, ikleyn:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
amount owed=650-45x, a slope of -$45 representing decrease of debt per month.
graph%28300%2C300%2C-10%2C20%2C-25%2C700%2C650-45x%2C+290%29
290=650-45x
45x=360
x=8 months

Answer by ikleyn(52847) About Me  (Show Source):
You can put this solution on YOUR website!
.

The requested formula / (function) is


    D(t) = 650 - 45*t  dollars,


where D(t) is the debt after t months, t is the time (in months).


The formula says that the price for the comp is 650 dollars, and every month the debt is decreasing by 45 dollars.


Regarding the plot, make it on your own.

You may use your graphing calculator or free of charge plotting tool at the site  www.desmos.com .


To answer the last question, write and solve this equation

    650 - 45*t = 290.


You will get then

    t = %28650-290%29%2F45 = 8 months.    ANSWER

Solved.

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