Question

Daria pays x dollars for a pair of shoes. The tax on the shoes is 8%. The expression representing the total cost is x + 0.08x.

a) 1.08x because adding 8% to the cost of the shoes is the same as multiplying the cost by 1.08.

b) x(0.08) because the cost of the shoes can be factored out.

c) 1.8x because adding 8% to the cost of the shoes is the same as multiplying the cost by 1.8.

d) 1.08x because adding $8 to the cost of the shoes is the same as multiplying the cost by 1.08.

Answer 1

The correct expression for the total cost of shoes including tax is 1.08x, as it represents the original cost plus the additional 8% tax.

Step-by-step explanation:

The correct expression representing the total cost of the shoes that Daria pays, including tax, would be 1.08x. The tax on the shoes is 8%, which means that the tax is 0.08 times the cost of the shoes, or 0.08x. To find the total cost, you add the tax to the original price, which can be represented as x + 0.08x. Combining like terms will give you 1.08x, which shows that you are essentially multiplying the original cost by 1.08 to include the tax.

Here's why the other options are incorrect: Option (b) x(0.08) only calculates the tax amount but does not include the original price. Option (c) 1.8x overly inflates the cost by 80% instead of the correct 8%. Option (d) which states 1.08x due to adding $8 is incorrect because the expression 1.08x does not add a flat $8; it scales the cost by 108%.