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Special Linear Case: Proportional Situations

Special Linear Case: Proportional Situations. 2.14. I need potatoes!. Yummy!. I need a whole lot of potatoes to make some delicious potato soup for a huge party. Two Options. Lucky’s : - $4 per pound of potatoes. Costco: - Pay $20 membership fee - $2 per pound of potatoes.

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Special Linear Case: Proportional Situations

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  1. Special Linear Case: Proportional Situations 2.14

  2. I need potatoes! Yummy! I need a whole lot of potatoes to make some delicious potato soup for a huge party

  3. Two Options Lucky’s: - $4 per pound of potatoes Costco: - Pay $20 membership fee - $2 per pound of potatoes

  4. Let x = number of poundsLet y = total cost Lucky’s: - $4 per pound of potatoes • y = 4x What’s different about the equation for Lucky’s? Costco: - Pay $20 membership fee - $2 per pound of potatoes y = 2x + 20

  5. Lucky’s: y = 4x What’s different about the graph for Lucky’s? Costco: y = 2x + 20

  6. What’s true about all of these graphs? What’s true about all of these equations?

  7. Notes • Proportional situations: x and y coordinates create equivalent fractions • Can rewrite as a linear equation in slope-intercept form

  8. Vocabulary • Proportional linear equations = have an initial value (y-intercept, b) of 0 • Direct Variation = another name for a proportional relationship • “y varies directly as x” means the graph is proportional • Constant of Variation = the slope (m) of a proportional linear equation

  9. Team Practice Using any method your team comes up with, determine if the points in the table represent a proportional relationship or not.

  10. Practice: Proportional or not?

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