MegaMart collects a sales tax equal to 1/16 of the retail price of each purchase and sends this money to the state government.
.Is the amount of tax collected proportional to the cost of an item after tax has been added?
How? Can you show in a chart form please? and send it to me
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To determine if the amount of tax collected is proportional to the cost of an item after tax has been added, we need to understand the concept of proportionality.
If two quantities are proportional, it means they maintain a constant ratio. In this case, we want to compare the amount of tax collected to the cost of an item after tax.
Let's assume the cost of an item before tax is represented by x. Since MegaMart collects a sales tax equal to 1/16 of the retail price of each purchase, the tax amount would be (1/16)*x.
Now, let's calculate the cost of the item after tax has been added. The total cost, including tax, would be the sum of the pre-tax cost and the tax amount. So the cost of the item after tax would be x + (1/16)*x, which is (17/16)*x.
To determine if the tax collected is proportional to the cost of the item after tax, we need to check if the ratio of the tax amount to the cost after tax remains constant.
So, the ratio of the tax amount to the cost after tax is:
(1/16)*x divided by (17/16)*x.
To simplify this ratio, we can cancel the x's and simplify the fraction:
(1/16) ÷ (17/16) = 1/17.
Since the ratio is a constant, namely 1/17, we can conclude that the amount of tax collected is proportional to the cost of an item after tax has been added.