A new car begins to depreciate in value as soon as you drive it off the car lot. Some models depreciate linearly, and others depreciate exponentially. Suppose you purchase a new car for $30,000 and 1 year later its value decreased to $27,600 (that's a decrease of $2400 or 8%).

a) Write a function that could model,
, the total value,
years since purchase as both a linear and exponential function.
Linear:

Exponential:


b) In 5 years, you decide to sell this car. Which type of decpreciation (linear or exponential) would create the GREATEST resale price of the vehicle