math
posted by jen .
you purchase an suv for $26,000. A year later the car is worth only $24,800. If the value of the car continues to depreciate at that rate,
a. find the linear equation that determines the value of the car based on the number of years you own it.
b. when will the car be worth $500?

rate = 1200 per year
Value = 1200t + 26000
b) set value = 500
500 = 1200n + 26000
1200n = 21000
n = 17.5
In about 17 and a half years
Respond to this Question
Similar Questions

math
The value of a car decreases at a constant rate as it grows older. When the car is 2 years old, it is worth $23,000. When the car is 5 years old it is worth $15,500. Write and equation relating y (value of the car $) to x (age of car). … 
Advanced Functions
he value of a new car depreciates at a rate of 12% per year. Write an equation to represent the approximate value of a car purchased for $23 000. Determine the value of the car two years after it is purchased. Approximately how many … 
math
Jason uses his car for his job. He is allowed to depreciate the car 7% per year. IF the car was worth $23,000 new, in about how many years will the car be worth $3,000? 
Algebra1
3. Jackson bought a car for $11,000.00. After 2 years, the value of the car is $7,860.00. If the value of the car depreciated linearly, how much did the car depreciate each year? 
algebra
kathy plans to purchase a car that depreciates (loses value)at a rate of 14%per year initial cost of the car ia $21,000.which equation represents the value,v,of the car after 3 years? 
Algebra
Three years after purchase, a car is estimated to be worth $24,000. At five years, its value is $19,000. If the car is depreciating in a linear manner, write an equation that represents the depreciation of the car. Answer the following … 
algebra
Jimmy bought a car in January of 2010 worth $25, 500. He submitted the car for valuation in January 2015 and was told that its worth is now $20, 450. Assuming that the depreciation is linear. a) Find the rate at which the car is decreasing … 
Algebra, Mathematics
A $40 000 car depreciates at a rate of 13% per year. a) Write an equation to represent this situation. b) Find the value of the car in 3 years. c) How long does it take for the car to be worth half it's value? 
math
The value of a car decreases at a constant rate as it grows older. When the car is 2 years old, it is worth $23,000. When the car is 5 years old it is worth $15,500. Write and equation relating y (value of the car $) to x (age of car). 
Math
in 2016, you purchased a new car for $20,000. The value of the car depreciates at a rate of 18% per year. The value V of the car after t years is given by the function V(t)=20000(0.82)t. When will the car be worth threequarters of …