Posted by **Steveo** on Tuesday, February 11, 2014 at 6:24pm.

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 questions:

a. How much is the car depreciating each year?

b. What was the purchase price of the car?

c. If the car continues this rate of depreciation, what will its value be at year 10?

- Algebra -
**Damon**, Tuesday, February 11, 2014 at 6:40pm
value = v

purchase price = p

v = p - k t

24,000 = p - 3 k

19,000 = p - 5 k

------------------ subtract

5,000 = 2 k

k = 2,500 per year (part a)

24,000 = p - 7,500

p = 31,500

v(10) = 31,500 - 25,000 = 6,500

## Answer this Question

## Related Questions

- Algebra 1 - The value of a certain new car (time = 0 years old) is $14,000. ...
- math - you purchase an suv for $26,000. A year later the car is worth only $24,...
- math - The value of a car decreases at a constant rate as it grows older. When ...
- algebra - kathy plans to purchase a car that depreciates (loses value)at a rate...
- math - a car depreciates in by avalue of $1000 per year. The original value of ...
- algebra - a new car costs $13,000 and is depreciating by $900 each year..how ...
- Advanced Functions - he value of a new car depreciates at a rate of 12% per year...
- Math - The depreciation rate, r, for a $50,000 news car is given by the function...
- Math..urgent.pls help!:( - A Volkswagon Beetle convertible sedan is worth $16,...
- Algebra I - Please show me how to solve: The value of a $20,000 car decreases ...