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Crafting Function Rules: Writing Relationships from Tables and Word Problems

This chapter focuses on writing function rules based on tables and real-world word problems. For example, it demonstrates how to create function rules for costs of finishing nails and profits from mowing lawns. A function rule captures the relationship between two variables, such as cost and weight, or profit and tasks completed. Through practical examples, students learn to define and apply these mathematical concepts effectively. Assignments are included to reinforce comprehension and application of the material.

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Crafting Function Rules: Writing Relationships from Tables and Word Problems

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  1. Chapter 5 Section 4 Writing a Function Rule

  2. Writing a Rule from a Table • y = x+2 B. y = x-2 C. y = x+4 D. y = 2x E. y = x2

  3. Word Problems • A carpenter buys finishing nails by the pound. Each pound of nails costs $1.19. a. Write a function rule to describe this relationship. b. How much do 12lb of finishing nails cost?

  4. Word Problems • Suppose you borrow money from a relative to buy a lawn mower that costs $245. You charge $18 to mow a lawn. Write a rule to describe your profit as a function of the number of lawns mowed. • (total profit) = $18 times (lawns mowed) - (cost of mower) • n = number of lawns mowed • P(n) = total profit • P(n) = 18n - 245

  5. Assignment • Page 256 • Numbers 1-21 odd

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