Question

A city has a 5% sales tax.

Is there a proportional relationship between the cost of items before tax and the cost of items after tax?
What is the constant of proportionality?

Answer 1

Yes, there is a proportional relationship between the cost of items before tax and the cost of items after tax, with the constant of proportionality being the rate of sales tax.

Step-by-step explanation:

Yes, there is a proportional relationship between the cost of items before tax and the cost of items after tax. The sales tax is a percentage of the original cost, so as the cost of the item increases, the amount of tax also increases proportionally.

The constant of proportionality in this case is the rate of sales tax, which is 5%. This means that for every $1 of item cost, there will be an additional $0.05 of tax.

For example, if the cost of an item before tax is $100, the amount of tax would be $100 x 0.05 = $5. The total cost of the item after tax would be $100 + $5 = $105.