Question

he straight line depreciation for a car is y = -2400x + 36,000 , where y is equal to the current value of the car at x number of years . What is the original purchase price of the car ? How much does the car depreciate each year ? How many years will it take for the car to totally depreciate to zero ?

Answer 1

The original purchase price of the car is $36,000, it depreciates by $2,400 each year, and it will take 15 years for the car to depreciate to zero.

Step-by-step explanation:

The linear depreciation equation for the car is given by y = -2400x + 36,000, where y represents the current value of the car, and x represents the number of years. The original purchase price of the car corresponds to the y-intercept of this equation, which occurs when x is 0. Therefore, the original purchase price is $36,000.

The car depreciates by the coefficient of x in the equation, which is $2,400 per year. This is seen by the negative slope of the line, which indicates a decrease in value over time.

To find how many years it will take for the car to depreciate to zero, we set y to 0 and solve for x:

0 = -2400x + 36,000

2400x = 36,000

x = 36,000 / 2400

x = 15

Therefore, it will take 15 years for the car to completely depreciate to zero.