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How do you determine the constant of proportionality from a graph?

How do you determine the constant of proportionality from a graph?. (4,180). (3,135). (2,90). (1,45). ( 0 ,0). In this lesson you will learn how to determine the constant of proportionality in graphs by finding the ratio of y to x. y. (-2, 5). (2,5). x. (-2,-5). (2, -5).

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How do you determine the constant of proportionality from a graph?

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  1. How do you determine the constant of proportionality from a graph? (4,180) (3,135) (2,90) (1,45) (0,0)

  2. In this lesson you will learn how to determine the constant of proportionality in graphsby finding the ratio of y to x.

  3. y (-2,5) (2,5) x (-2,-5) (2,-5)

  4. Graph of a Proportional Relationship:

  5. What is the constant of proportionality? (4,180) (3,135) (2,90) (1,45) (0,0)

  6. Let x and y be two proportional quantities. Let k be a constant. y = kx y x = k = 1 x y k

  7. y = distance (miles) k = unit rate of miles per hour (speed) x = time (hours) y = kx y x = k = 1 x y k

  8. 180 90 135 y 45 4 2 3 x 1 (4,180) (3,135) (2,90) (1,45) (0,0)

  9. 45 90 = 45 = 45 1 2 135 180 = 45 = 45 3 4

  10. y = distance (miles) k = miles per hour (speed) x = time (hours) k = 45 miles per hour y = 45 x

  11. In this lesson you have learned how to determine the constant of proportionality in graphsby finding the ratio of y to x.

  12. What is the constant of proportionality? (4,120) (3,90) (2,60) (1,30)

  13. Barbara’s beagle needs to be walked each morning and evening. Barbara and the dog usually walk for 20 minutes and travel 3/5 of a mile each morning and evening. Graph the relationship between distance and time in this problem. How many miles will Barbara travel in 7 days? How much time will she spend walking?

  14. To return home, Jason left the Wellington, New Zealand hotel at 4 AM and arrived at his home airport in Albany, New York at 11:30 PM Eastern Standard Time (EST) on the same day of the week. He traveled west to east. How long did it take him to make the trip? Hint: Thursday at 7 PM EST is noon on Friday in Wellington.

  15. Ashley ran 100 yards in 12 seconds. What was her speed in miles per hour? Round your answer to the nearest hundredth.

  16. What is the constant of proportionality? (4,200) (3,150) (2,100) (1,50)

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