1. LESSON How can you use an equation to show a relationship between two variables? Writing Equations from Tables 14.3

2. Texas Essential Knowledge and Skills The student is expected to: Expressions, equations, and relationships—6.6.B Write an equation that represents the relationship between independent and dependent quantities from a table. Also 6.6.C Mathematical Processes 6.1.B Use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution.

7. ADDITIONAL EXAMPLE 1 Write an equation that expresses y in terms of x. A y = 3x y = x + 5 B

8. ADDITIONAL EXAMPLE 2 Meredith is playing a video game. She earns the same number of points for each alien she captures. She earned 750 points for capturing 5 aliens and 1,350 points for capturing 9 aliens. Write an equation to represent the relationship. Then solve the equation to find how many points Meredith will earn if she captures 27 aliens. p = 150a, where p represents the number of points and a represents the number of aliens captured; 4,050 points

9. Write an equation that expresses y in terms of x. 14.3 LESSON QUIZ 6.6.A 1. 2. y = 5x y = x – 3

10. Jaime bought 2 puzzles for $5.00 and 3 puzzles for $7.50. Write and solve an equation to find the cost of 15 puzzles. A submarine descends to –100 feet in 2 minutes and –250 feet in 5 minutes. Write and solve an equation to find the depth of the submarine in 8 minutes. c = 2.50p; $37.50 3. d = –50m; –400 feet 4.

11. Not all relationships are purely additive or multiplicative. Find the y-values in the following tables. Use the order of operations. Compare and contrast these relationships with additive and multiplicative relationships. y = 2x + 11.

12. y = 3x – 22. Not all relationships are purely additive or multiplicative. Find the y-values in the following tables. Use the order of operations. Compare and contrast these relationships with additive and multiplicative relationships.

13. 3.

14. Not all relationships are purely additive or multiplicative. Find the y-values in the following tables. Use the order of operations. Compare and contrast these relationships with additive and multiplicative relationships. 4.

15. How can you use an equation to show a relationship between two variables? Use a table to find the relationship between the two variables. Use that relationship to write an equation.