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Which table of ordered pairs represents a proportional relationship?A 2-column table with 3 rows. Column 1 is labeled x with entries 0, 5, 10. Column 2 is labeled y with entries 10, 20, 30.A 2-column table with 3 rows. Column 1 is labeled x with entries 2, 4, 6. Column 2 is labeled y with entries 10, 20, 30.A 2-column table with 3 rows. Column 1 is labeled x with entries 1, 2, 3. Column 2 is labeled y with entries 2, 3, 4.A 2-column table with 3 rows. Column 1 is labeled x with entries 1, 3, 4. Column 2 is labeled y with entries 4, 10, 13. |
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Answer» Given : 4 table of ordered pairs To find : Which table of ordered pairs represents a proportional relationship Solution: graph of a proportional relationship must pass through (0, 0). y = KX Column 1 Column 2 0 10 5 20 10 30 Slope = (20 - 10)/( 5 - 0) = 10/5 = 2 y - 10 = 2 ( x - 0) => y = 2x + 10 linear but not proportional Column 1 Column 2 2 10 4 20 6 30 Slope = (20 - 10)/(4 - 2) = 5 y - 10 = 5(x - 2) => y = 5X proportional Column 1 Column 2 1 2 2 3 3 4 Slope = 1 y - 2 = 1(x - 1) => y = x + 1 linear but not proportional Column 1 Column 2 1 4 3 10 4 13 Slope = 3 y - 4 = 3(x - 1) => y = 3x + 1 linear but not proportional proportional Column 1 Column 2 2 10 4 20 6 30 Slope = (20 - 10)/(4 - 2) = 5 y - 10 = 5(x - 2) => y = 5x proportional Learn More: A proportional relationship between the number of pounds of ... Which statement about proportional relationships is false? A ... |
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