Final answer:
The value of a car over time can be determined by substituting the number of years into the exponential depreciation equation to predict its future value.
Step-by-step explanation:
The value of a car depreciating over time can be modeled using an exponential function. In the context of the question provided, the equation vt = 19,900(1.11)^t specifies how the dollar value vt of the car changes as it becomes t years old. If we want to evaluate the growth, or in this case, the depreciation of the car's value over 10 years, we can substitute t = 10 into this equation to compute the car's value after that period. Similarly, for calculating the value after any number of years, we would just need to replace t with the desired number of years. This type of modeling is crucial in finance and economics for predicting future values of assets.