Original price of inline skates .

The sales tax is of  price of the inline skates.

Let x represent the price of the inline skates.

represent the price after the discount.

represent the price after the sales tax.

a.

Express the price of the inline skates after the discount and the price of the inline skates after the sales tax using function notation.

Find .

Price of the inline skates before the discount is .

Since represent the price after the discount, the sales price is

. 

.

The price after the discount is .

Find .

The sales tax is .

Since represent the price after the sales tax,

The price after the sales tax .

b.

Which composition of functions represents the price of the inline skates, or .

Find .

.

Find .

.

Since both composition of functions represents the price of the inline skates.

c.

Find how much will Lily pay for the inline skates.

.

Lily pay for the inline skates .

a.

The price after the discount is .

The price after the sales tax .

b.

, . both composition of functions represents the price of the inline skates.

c.

Lily pay for the inline skates .