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5, 8, 11, 14, 17, . . .

How do identifying the rate of change and the initial value help you create a model for a linear relationship?. In this lesson you will learn how to create a linear relationship in slope intercept form by using a table of values. 5, 8, 11, 14, 17, . . . +3. +3. +3. +3. +3. +3. +3. +3.

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5, 8, 11, 14, 17, . . .

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  1. How do identifying the rate of change and the initial value help you create a model for a linear relationship?

  2. In this lesson you will learn how to create a linear relationship in slope intercept formby using a table of values.

  3. 5, 8, 11, 14, 17, . . . +3 +3 +3 +3 +3 +3 +3 +3 Linear growth: Equal differences over equal intervals.

  4. y = mx + b slope y-intercept y = 0.5x + 3 (30, 18) 18 inches tall at 30 days +0.5 +0.5 +0.5 +0.5

  5. Confusing the slope with the y-intercept y = 2x + 3

  6. Backpack weighs 3 pounds Each additional book weighs 1½ pounds How much will your backpack weigh with each additional book?

  7. slope y-intercept y = 1.5x + 3 +1.5 +1.5 +1.5 +1.5 8 books would weigh 15 pounds.

  8. slope y-intercept y = -3x + 5 Rate of change is -3. -3 -3 -3 -3

  9. In this lesson you learned how to create a linear relationship in slope intercept formby using a table of values.

  10. A candle is 6 inches tall after burning for 1 hour. After burning for 3 hours, it is 5 inches tall. After burning for 4 hours, it is 4½ inches tall. Find the initial height, and write an equation to model the situation.

  11. Write a table of values on one index card and the equation of the linear relationship on another index card. Do this for 10 sets of tables and equations. Turn the cards face down on a table and play the Memory game to match the tables and equations.

  12. Use an incomplete table of values (leave out some x-values and some y-values. Trade your table with a friend and see if you and your friend can determine the correct equations for the tables you have.

  13. Which equation below models the temperature change throughout the day as shown in the table? a) y = 2x + 50 • 50x + 2 • -2x + 50 • 82 – 2x

  14. I can seat 6 people around a table. If I need more seats, I can join another table to my first table and seat 10 people. With three tables joined, I can seat 14 people. Write an equation to show the number of chairs needed for t tables.

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