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State sales tax y is directly proportional to retail price x. An item that sells for 156 dollars has a sales tax of 14.42 dollars. Find a mathematical model that gives the amount of sales tax y in terms of the retail price x .

What is the sales tax on a 320 dollars purchase.

User Shoebie
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1 Answer

6 votes

Answer:

The sales tax on a 320 dollars purchase is of $29.6.

Explanation:

State sales tax y is directly proportional to retail price x.

This means that:


y = cx

In which c is the constant of proportionality.

An item that sells for 156 dollars has a sales tax of 14.42 dollars.

This means that
x = 156, y = 14.42. We use this to find c. So


y = cx


14.42 = 156c


c = (14.42)/(156)


c = 0.0924

Then


y = 0.0924x

What is the sales tax on a 320 dollars purchase?

y when
x = 320. So


y = 0.0924(320) = 29.6

The sales tax on a 320 dollars purchase is of $29.6.

User JackMorrissey
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