Tom is going to buy a new car. According to state law, he must pay sales tax for the new car. The sales tax is based on the cost of the car. Suppose he was planning to buy a $23,000 car that has a tax of $1150.

a)Find a mathematical model that gives the amount of sales tax y in terms of the cost x of the car.

y=

b)Suppose that, due to the economic recession, Tom obtained less income from his job and can no longer afford a $23,000 car and instead must buy a cheaper one. He decides to buy a $10,000 car instead; what is the sales tax on this $10,000 car?

$