Question

When someone purchases a new car and begins to drive it, generally speaking, the resale value of the car (in dollars) goes down each year. Let represent the number of years since purchase and represent the resale value of thecar (in dollars). The linear function that models the resale value based on the number of years since purchase is y = 32000 - 3500x. What can we say about the rate of change and the initial value? Answer fast please 25pts. multiple choice.

A.The rate of change is 32000 and the the initial value is -3500. $32000 represents the decrease of value per year and -3500 represents the initial value of the car.


B.The rate of change is 3500 and the initial value is 32000. 3500 means that the car increases its value by $3500 every year and the initial value is $32000.


C,The rate of change is -3500 and the initial value is 32000. -3500 represents the initial value of the car.


D.The rate of change is -3500 and the initial value is 32000. 32,000 represents the initial value of the car and -3500 is the decrease in value of the car every year.

Answer 1

The rate of change of the resale value of a car based on the number of years since purchase is -3500, indicating a yearly decrease in value, and the initial value of the car at the time of purchase is 32000.

Step-by-step explanation:

The linear function that models the resale value of a car based on the number of years since purchase is given by y = 32000 - 3500x. In this equation, y represents the resale value of the car (in dollars), and x represents the number of years since the car was purchased. The rate of change here is represented by the coefficient of x, which is -3500. This indicates that each year, the value of the car decreases by $3,500. The initial value, when x is zero, is represented by the constant term, which is 32000. This suggests that the initial resale value of the car, at the time of purchase, is $32,000. Thus, the correct statement about the rate of change and the initial value is: The rate of change is -3500 and the initial value is 32000. 32000 represents the initial value of the car, and -3500 is the decrease in value of the car every year.

Answer 2

D

Step-by-step explanation:

$32000 initial value

-3500 every year after purchase