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Algebra: Solving Inequalities - TWO PROBLEMS!?

Algebra: Solving Inequalities - TWO PROBLEMS!?
Problem #1: If you have pieces of paper in one box with the numbers 0, 1, 2, 3, 4 on them and pieces of paper in a second box with the numbers 5, 6, 7, 8, 9 on them, explain how you could form five ordered pairs that would represent a function and five ordered pairs that would represent a relation. Explain your reasoning.

1. Explain how you could form five ordered pairs that would represent a function and five ordered pairs that would represent a relation.

2. Explain your reasoning.

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Problem #2 : Which of the following ski runs would present the greatest challenge? Why? Run #1, which has a vertical change of 100 feet for each horizontal change of 500 feet, or Run #2 which has a vertical change of 100 feet and a horizontal change of 1000 feet.

Find the slope of each run to justify your answer. It may be helpful to draw a picture of both runs as close to scale as possible. Explain your reasoning.

1. Which of the ski runs would present the greatest challenge?

2. Explain your reasoning.

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