The following situation can be modeled by a linear function. Write an equation for the linear function and use it to answer the given question. The price of a particular model car is $12,000 today and rises with time at a constant rate of $820 per year. How much will a new car cost in 3.7 years?

The equation used to model this situation is ____, where p is the price of a car in dollars and t is time in years.