if a new car is valued at $11,200 and 4 years later it is valued at $4000, then what is the average rate of…

if a new car is valued at $11,200 and 4 years later it is valued at $4000, then what is the average rate of change of its value during those 4 years? the average rate of change is 1800 dollars per year.

if a new car is valued at $11,200 and 4 years later it is valued at $4000, then what is the average rate of change of its value during those 4 years? the average rate of change is 1800 dollars per year.

Answer

Explanation:

Step1: Calculate value change

The initial value is $11200$ and the final value is $4000$. The change in value $\Delta V=4000 - 11200=- 7200$ (negative because the value has decreased).

Step2: Calculate average rate of change

The time period $\Delta t = 4$ years. The average rate of change $r=\frac{\Delta V}{\Delta t}=\frac{-7200}{4}=-1800$. The negative sign indicates a decrease. The magnitude of the average rate of change is $1800$ dollars per year.

Answer:

$1800$