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 ma

Question

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.

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niczorrrr 6 months 2021-08-04T19:42:27+00:00 1 Answers 9 views 0

Answers ( )

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    2021-08-04T19:43:41+00:00

    Answer:

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

    Step-by-step 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 = \frac{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.

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