Topic 5 - , where s represents the number of stories in a...

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*LINEAR PATTERNS* In this activity, you investigated the relationship between the number of stories in a tower of cubes and the number of cube faces you would paint on that tower. The tower-painting problem Number of stories in the tower Process column Number of cube faces to paint 1 Top plus one story with four cube faces per story 5 2 Top plus two stories with four cube faces per story 9 3 Top plus three stories with four cube faces per story 13 4 Top plus four stories with four cube faces per story 17 5 Top plus five stories with four cube faces per story 21 6 Top plus six stories with four cube faces per story 25 You saw that this relationship followed a linear pattern: each new story in the tower added four more cube faces to paint. **You also modeled this relationship using a function rule and the graph of that rule:
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Unformatted text preview: , where s represents the number of stories in a tower and f represents the number of cube faces to be painted in that tower. *** You saw that the domain and range of the tower-painting problem were not the same as the domain and range of the function rule that modeled the problem. The tower-painting problem Number of stories in the tower Number of cube faces to paint 1 5 2 9 3 13 4 17 5 21 6 25 The domain of the problem situation was the set of natural numbers: 1, 2, 3, 4, . .., but the domain of the function rule was all real numbers. The range of the problem situation was a subset of the natural numbers: 5, 9, 13, . .., but the range of the function rule was all real numbers....
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This note was uploaded on 10/03/2011 for the course ALCOHOLEDU 1 taught by Professor Berkeley during the Spring '08 term at University of California, Berkeley.

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Topic 5 - , where s represents the number of stories in a...

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