One of the goals of thinking algebraically is to develop different ways of representing real-world situations. Representing mathematical ideas in pictures, tables, graphs, and words allows us to use mathematics as a way of communicating. With Eric the Sheep, it appeared that a table and a description in words were good representations of the situation.
The problems in this section involve qualitative graphs. These are graphs that concentrate on the general features of a real-world situation. As an analogy, when learning a foreign language, we are given the rules of grammar, but also opportunities to express ourselves. Similarly, qualitative graphs allow us to interpret, transform, predict, and make logical deductions from the given mathematical data. In this way, even simple graphs can communicate a great deal of information, as illustrated in Problem C1.
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