Question

Enter an algebraic expression to model the given context. Give your answer in simplest form.

The prices of a pair of shoes plus 8% sales tax.
The algebraic expression is:
a. x + 0.08x
b. x + 0.8x
c. x - 0.08x
d. x - 0.8x

Answer 1

a. x + 0.08x. The algebraic expression to model the given context is: x + 0.08x. To find the price of a pair of shoes plus 8% sales tax, you need to add the original price (x) to 8% of the original price (0.08x). This can be simplified to x + 0.08x, which gives the total price including sales tax.

Step-by-step explanation:

The algebraic expression to model the given context is: x + 0.08x.

To find the price of a pair of shoes plus 8% sales tax, you need to add the original price (x) to 8% of the original price (0.08x). This can be simplified to x + 0.08x, which gives the total price including sales tax.

For example, if the original price of the shoes is $100, the expression would be 100 + 0.08(100). Solving this gives $108, which is the final price including sales tax.