1. Sam buys a pair of shoes and has a coupon for $15 off. The day he buys the shoes, the store has a sale offering 20% off the price of all shoes. a) Write a function to represent the cost, C, of a pair of shoes at price, p, if just the coupon reduction is applied to the cost off the shoes. Write a function that represents the cost, D, if just the discount is applied to the cost. b) What does the function D(C(p)) represent if a pair of shoes has a regular price of $80? Determine D(C(80)). c) What does the function C o D represent for a pair of shoes with a regular price of $80? Determine C o D for the same pair of shoes.

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Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.