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.

V= original price - 4000x

Step-by-step 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