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1 Answer

Here, you are asked find the average rate of change of the value of the car with respect to time.

Let V(t) represent the average rate of change of the value (v) of the car with respect to time (t) in years.

You are given the following info:

     at time t1= 2 years, the value of the car is v(t1) = v(2) = 11,200

     at time t2= 6 years, the value of the car is v(t2) = v(6) = 6,100

The average rate of change is represented by the following formula:

          V(t) = [v(t2) - v(t1)] / (t2 - t1)

          V(t) = [v(6) - v(2)] / (6 - 2)

          V(t) = (6,100 - 11,200) / (4)

          V(t) = (-5,100) / (4)

          V(t) = -1,275

Thus, the average rate of change of the value of the car is -$1,275 per year. That is, the value of the car is dropping at a rate of $1,275 per year.