Question

The graph below models the value of a $20,000 car t years after it was purchased. Value of Car A graph titled Value of Car has years on the x-axis and Dollars on the y-axis. A line curves down and goes through points (0, 20,000), (4, 10,000), and (14, 2,000). Which statement best describes why the value of the car is a function of the number of years since it was purchased? Each car value, y, is associated with exactly one time, t. Each time, t, is associated with exactly one car value, y. The rate at which the car decreases in value is not constant. There is no time, t, at which the value of the car is 0.

Answer 1

The value of the car is a function of the number of years since it was purchased. The rate at which the car decreases in value is not constant. There is no time at which the value of the car is 0.

The graph below models the value of a $20,000 car over time. The points on the graph are (0, 20,000), (4, 10,000), and (14, 2,000). The value of the car, represented by y, is a function of the number of years since it was purchased because each car value is associated with exactly one time. In other words, for each year there is only one corresponding value for the car.

The rate at which the car decreases in value is not constant, as shown by the curve on the graph. If the rate was constant, the graph would be a straight line. However, the graph curves downwards, indicating that the rate of depreciation changes over time.

Based on the given information, we can see that there is no time at which the value of the car is 0. This is evident from the given data points where the value of the car never reaches 0 at any point in time.

The below may be the graph of the question