Johnny is
turning 18 in 3 months and his parents are planning to purchase him a yacht for his 18^{th}
birthday. According to state law, however, if he owns a yacht, he must pay a
yearly yacht
tax. The yacht
tax is based on the cost of the yacht. Suppose his parents were planning to buy his a $3,685,000 yacht that has a tax of $ 1,547,700 every year.

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

y=

b)Suppose that, due to economic deflation, Johnny’s parents can afford a yacht priced more than $3,685,000 and decide to buy a more expensive yacht. They buy him a yacht for $4,556,000; what is the yacht tax on a $4,556,000 yacht?

$