Suppose Karl bought a used car for $12,600. Each year its value is expected to depreciate by $1,350.
a. What is the value of the car after 3 years?
b. Write an equation modeling the value of the car over time.
a. To find the value of the car after 3 years, we need to subtract the total depreciation over 3 years from the original price. The total depreciation is given by $1,350 per year for 3 years, so the value of the car after 3 years is $12,600 - ($1,350 * 3) = $12,600 - $4,050 = $8,550.
b. Let V(t) represent the value of the car at time t (in years) after Karl bought it. We know that the initial value of the car is $12,600 and it depreciates by $1,350 per year. Therefore, the equation modeling the value of the car over time is:
V(t) = $12,600 - ($1,350 * t)