Final answer:
To model the value of the car using an exponential function, we need to determine the initial value and the decay factor. The exponential function can be written as: V(T) = 3000 * (0.9)^T, where V(T) is the value of the car T years after it is bought.
Step-by-step explanation:
To model the value of the car using an exponential function, we need to determine the initial value and the decay factor. The initial value is $3000, and the car depreciates 10% in value every year. This means that the decay factor is 0.9 (1 - 10%).
The exponential function can be written as:
V(T) = 3000 * (0.9)^T
where V(T) is the value of the car T years after it is bought.