Question

After it is purchased, the value of a new car decreases $4000 each year. After 3 years, the car is worth $18,000. Write an equation that represents the value V (in dollars) of the car x years after it is purchased.

Answer 1

V=-4000x + 30000
Value=Value decreses by 4000(times x=years)+initial value(3(4000)=12000+18000=30000

Answer 2

V= original price - 4000x

Explanation:

Given : The value of a new car decreases $4000 each year. After 3 years, the car is worth $18,000.

To Find: Write an equation that represents the value V (in dollars) of the car x years after it is purchased.

Solution:

Since the cost decrease by 4000 in 1 year

So, cost decrease by amount in x years = 4000x

So, the value of car(V) after x years :

V= original price - 4000x --a

Hence equation a is the required equation .

Since we are given that the car value after 3 years = 18000

So, put x =3 and v =18000 in equation a

18000= original price - 4000*3

18000= original price -12000

18000+12000= original price

30000= originl price

Thus the original price is $30000