Question

Leroy buys roller blades for $327.62, including a sales tax of 62%. Let x = the price of roller blades before tax. Write an algebraic expression in x for "the tax paid on the roller blades."

Answer 1

The algebraic expression for the tax paid on the roller blades is Tax paid = x × 0.62, where 'x' is the pre-tax price of the roller blades and 0.62 represents the 62% sales tax rate converted to decimal form.

Step-by-step explanation:

The student has asked to write an algebraic expression for the tax paid on the roller blades that Leroy bought. Here, the total amount paid is $327.62 and this includes a sales tax of 62%. We are asked to let 'x' represent the price of the roller blades before tax.

To express the tax paid on the roller blades as an algebraic expression, we first need to recognize that sales tax is a percentage of the original price. Therefore, the tax paid can be calculated as a percentage of 'x'. The sales tax rate should be written as a decimal to perform the multiplication, so a 62% sales tax rate is equivalent to 0.62 in decimal form.

The algebraic expression for the tax paid on the roller blades is then:

Tax paid = x × 0.62

Where 'x' is the price of the roller blades before tax.