1. Splash Screen

2. Lesson Menu Five-Minute Check (over Lesson 6–6) Main Idea Example 1:Write an Equation for a Function Example 2:Make a Table Example 3:Write an Equation Example 4:Use an Equation to Solve a Problem Example 5:Write and Use an Equation to Solve a Problem

3. Main Idea/Vocabulary Write an equation to describe a proportional situation.

4. Example 1 Write an Equation for a Function Write an equation to represent the function displayed in the table. Examine how the value of each input and output changes. Answer: So, the equation that represents the function is y = 9x. Each output y is equal to 9 times the input x.

5. 1.A 2.B 3.C 4.D Example 1 A.y = 11x B.y = x + 11 C.y = 11 – x D.y = x ÷ 11 Write an equation to represent the function displayed in the table.

6. Example 2 BOOKS Javier sells handmade notebooks. He charges $25 for each book. Make a table to show the relationship between the number of books sold b and the total amount Javier earns t. The total earned (output) is equal to $25 times the number of books sold (input). Answer: Make a Table

7. 1.A 2.B 3.C 4.D Example 2 BABYSITTING Jenna baby-sits on the weekends. She charges $8 for each hour. Make a table to show the relationship between the number of hours Jenna baby-sits h and the total amount she earns t. A. B. C. D.

8. Example 3 BOOKS Javier sells handmade notebooks. He charges $25 for each book. Write an equation to find the total amount earned t for selling b books. The total earned equals $25 times the number of books sold. Write an Equation WordsTotal earned equals $25 times the number of books sold. VariableLet t represent the total earned and b represent the number of books sold. Equationt = 25 ● b

9. Example 3 Answer: So, the equation is t = 25b. Write an Equation

10. 1.A 2.B 3.C 4.D Example 3 A.t = 2h + 4 B.t = h + 8 C.t = 4h D.t = 8h BABYSITTING Jenna baby-sits on the weekends. She charges $8 for each hour. Write an equation to find the total amount earned t for h hours of baby-sitting.

11. Example 4 BOOKS Javier sells handmade notebooks. He charges $25 for each book. How much will Javier earn if he sells 7 books? t = 25bWrite the equation. t = 25 ● 7Replace b with 7. t = 175Multiply. Answer: Javier will earn $175 for selling 7 notebooks. Use an Equation to Solve a Problem

12. 1.A 2.B 3.C 4.D Example 4 A.$56 B.$64 C.$96 D.$112 BABYSITTING Jenna baby-sits on the weekends. She charges $8 for each hour. How much will Jenna earn if she baby-sits for 14 hours?

13. Example 5 DOG GROOMING The table shows the amount that a kennel charges for grooming a dog. Write a sentence and an equation to describe the data. Then find the total cost of grooming 11 dogs. The cost of grooming is $12 per dog. The total cost t is $12 times the number of dogs d. Therefore, t = 12d. Use this equation to find the total cost t of grooming 11 dogs. Write and Use an Equation to Solve a Problem

14. Example 5 t = 12dWrite the equation. Write and Use an Equation to Solve a Problem Answer: The total cost of grooming 11 dogs is $132. t = 12 ● 11 or 132Replace d with 11. Multiply.

15. 1.A 2.B 3.C 4.D Example 5 A.$224 B.$288 C.$300 D.$320 CARS The table shows the amount that a rental car company charges to rent a car per day. Write a sentence and an equation to describe the data. Then find the total cost of renting a car for 9 days.

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17. Resources Five-Minute Check (over Lesson 6–6) Image Bank Math Tools Ratios and Tangrams Ratios

18. 1.A 2.B 3.C 4.D Five Minute Check 1 A.Add 2 to the position number; n + 2; 15 B.Add 4 to the position number; n + 4; 17 C.Multiply the position number by 2; 2n; 26 D.Multiply the position number by 3; 3n; 39 Use words and symbols to describe the value of each term as a function of its position. Then find the value of the thirteenth term in the sequence. (over Lesson 6-6)

19. 1.A 2.B 3.C 4.D Five Minute Check 2 A.Add 11 to the position number; n + 11; 24 B.Add 9 to the position number; n + 9; 22 C.Multiply the position number by 5; 5n; 65 D.Multiply the position number by 11; 11n; 143 Use words and symbols to describe the value of each term as a function of its position. Then find the value of the thirteenth term in the sequence. (over Lesson 6-6)

20. 1.A 2.B 3.C 4.D Five Minute Check 3 A.Multiply the position number by 9; 9n; 117 B.Multiply the position number by 3; 3n; 39 C.Multiply the position number by 8; 8n; 104 D.Multiply the position number by 11; 11n; 143 Use words and symbols to describe the value of each term as a function of its position. Then find the value of the thirteenth term in the sequence. (over Lesson 6-6)

21. 1.A 2.B 3.C 4.D Five Minute Check 4 A.2x + 1B.2x – 1 C.3x + 1D.x + 2 What is the rule to find the value of the missing term in the sequence below? (over Lesson 6-6)

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