what is the answer to this ?

Question

the value of my new car after 2 years was $11,200. when the car is 6 years old,the value has dropped to $6100.

Answer 1

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.