Question

The average price for a new car is $30,000. Each year, the value of that car decreases by 15%.

Explain the meaning of the y-intercept, appropriate domain and range, and whether the function is increasing or decreasing.

Answer 1

y int: The starting value. Domain: All Real Numbers. Range: y<=30,000. The Function is decreasing

Explanation:

The y int. is the starting value because it is the point where no years have started yet on the x axis so that means that the value of the car will be as if you had just bought it. The domain is all real numbers because the number of years you could have the car could be infinate. The range is the y axis part meaning that it could be any number starting from 30,000 and decreasing because the car value is constantly decreasing. And due to the fact that the price is going down every year by 15%, the function is decreasing.