Suppose that in the year 2000, the cost of a compact car averaged $ 12700 and that in 2003, the cost averaged $ 14800. Assuming that the relationship between year $t$ and cost $c$ is linear, develop a formula for predicting the average cost of a compact car in the future measuring the variable $t$ as years since 2000. Be sure to use the lower case variables $t$ and $c$. .

What do you predict the average cost of a compact car will be in the year 2005? .