a car depreciates in by avalue of $1000 per year. The original value of the car is $30,000. Let V(x) be the value of the car in x years.

Write the linear function that represent the value of the car in x years.

what will be the value of the car after 7 years?

v(x) = 30000-1000x

v(7) = 30000-1000(7) = $23000

To find the linear function that represents the value of the car in x years, we need to use the given information that the car depreciates by $1000 per year.

Let V(x) be the value of the car in x years.

Since the original value of the car is $30,000, we can set up the equation:

V(x) = original value - depreciation per year * number of years
V(x) = $30,000 - $1000 * x

The linear function that represents the value of the car in x years is V(x) = $30,000 - $1000x.

To find the value of the car after 7 years, we can substitute x = 7 into the function:

V(7) = $30,000 - $1000 * 7
V(7) = $30,000 - $7000
V(7) = $23,000

Therefore, the value of the car after 7 years would be $23,000.