Question

The expression 0.15x + (x − 15) models the final price of a scooter with an instant rebate in a state that charges sales tax.

a) Which part of the expression represents the discounted price before tax?


b) Which part of the expression represent the amount of sales tax, in dollars (not the tax rate, the amount of sales tax paid)?

Answer 1

Explanation:

a) The part of the expression that represents the discounted price before tax is "x - 15". In the expression, "x" represents the original price of the scooter, and "x - 15" subtracts the instant rebate of $15 from the original price. So, the result of "x - 15" is the discounted price before tax.

b) The part of the expression that represents the amount of sales tax, in dollars, is "0.15x". In the expression, "0.15x" represents the sales tax amount as a decimal value (0.15) multiplied by the original price "x". This calculates the sales tax based on the original price of the scooter.

To summarize:

a) The discounted price before tax is represented by "x - 15".

b) The amount of sales tax, in dollars, is represented by "0.15x".