Question

Stan bought a car that was valued at $24000 at the time of purchase. Stan calculates that the car will depreciate, lose value, at a rate of $1100 per year before it has no value. Write a function that will represent the value of the car, V, with respect to the number of years, t.

You will be writing the entire function now in slope intercept form using the variables provided in the question. Please enter one term (variable or number) in each cell provided.

Answer 1

that the function assumes that the car depreciates at a constant rate of $1100 per year.

Explanation:

The initial value of the car is $24000.

The car depreciates at a rate of $1100 per year, which means that the value of the car decreases by $1100 every year.

We can represent the value of the car, V, with respect to the number of years, t, using the following function in slope-intercept form:

V = -1100t + 24000

Here, the slope is -1100, which represents the rate at which the value of the car is decreasing per year. The intercept is 24000, which represents the initial value of the car.

Note that the function assumes that the car depreciates at a constant rate of $1100 per year.