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Splash Screen

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 Lesson Menu

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

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. Each output y is equal to 9 times the input x. Answer: So, the equation that represents the function is y = 9x. Example 1

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

Make a Table 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: Example 2

BABYSITTING Jenna baby-sits on the weekends 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. A B C D Example 2

The total earned equals $25 times the number of books sold. Write an Equation 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. Words Total earned equals $25 times the number of books sold. Variable Let t represent the total earned and b represent the number of books sold. Equation t = 25 ● b Example 3

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

BABYSITTING Jenna baby-sits on the weekends 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. A. t = 2h + 4 B. t = h + 8 C. t = 4h D. t = 8h A B C D Example 3

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

BABYSITTING Jenna baby-sits on the weekends 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? A. $56 B. $64 C. $96 D. $112 A B C D Example 4

Write and Use an Equation to Solve a Problem 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. Example 5

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

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. A. $224 B. $288 C. $300 D. $320 A B C D Example 5

End of the Lesson End of the Lesson

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

A. Add 2 to the position number; n + 2; 15 (over Lesson 6-6) 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. 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 A B C D Five Minute Check 1

A. Add 11 to the position number; n + 11; 24 (over Lesson 6-6) 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. 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 A B C D Five Minute Check 2

A. Multiply the position number by 9; 9n; 117 (over Lesson 6-6) 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. 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 A B C D Five Minute Check 3

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

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