Answer:
y = 1500 - 75t
It will take her 20 months to pay off her TV loan.
Explanation:
Vanessa purchased a smart TV for $1500 on a payment plan. After 4 months of purchasing the TV her balance was $1200 . 7 month her balance was $975. The amount she pays every month can be calculated as follows. After 4 months she paid 1500 - 1200 = $300. Her balance is $1200. Divide 300 by 4 to get $75 per month as the amount she pays every month.
1500 - 975 = 525/7 = $75 per month.
The equation to model the balance y after t months can be expressed below.
y = 1500 - 75t
where
y = balance
t = number of months
Her balance should be $0 for her to be able to pay off the TV loan.
y = 0
-1500 = -75t
divide both sides by -75
t = -1500/-75
t = 20
It will take her 20 months to pay off her TV loan.