Writing Operations and Using Sentence Structure

Many hints, clues, and downright instructions are available from the wording of math problems. When the problem talks about a total or increase or uses the word altogether, the operation of addition is suggested. You look for a 

Problems involving addition are nice in several respects  

A cost function or equation consists of the fixed part and the variable part. Each of the three cost schedules in this problem has a fixed cost of 75, but the variable part changes, depending on the number of mugs ordered. An efficient way of writing the equations in this problem is to use a piecewise function, which lists each rule and the input associated with each. The C in this function represents the total cost, and the x represents the number of mugs. 

There are 24 oranges in a crate, and there are 24 people in the room. You need to distribute the oranges so that everyone gets one orange, but 

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