A. Does the table represent a proportional relationship?

B. If the relationship is proportional, what is the constant of proportionality?


Total wight in pounds. 12 18 30 60

Number of books. 10 15 25 50

Respuesta :

A. Yes the table represents a proportional relationship

B. The constant of proportionality is 1.2

Step-by-step explanation:

Two quantities are proportional if:

  • One of them is equal to the constant times the other one
  • If x and y are proportion, then y = k x, where k is constant

∵ Total wight in pounds ⇒ 12  ,  18  ,  30  ,  60

∵ Number of books ⇒ 10  ,  15  ,  25  ,  50

- Divide each two corresponding data to check if all they give

   the same constant or not

∵ 12 ÷ 10 = 1.2

∵ 18 ÷ 15 = 1.2

∵ 30 ÷ 25 = 1.2

∵ 60 ÷ 50 = 1.2

- That means the total wight is equal to constant times the

   number of books

∴ Total wight = 1.2 Number of books

∴ The total wight and the number of books are in a proportional

    relationship

A. Yes the table represents a proportional relationship

Total wight = 1.2 Number of books

∴ The constant of proportionality = 1.2

B. The constant of proportionality is 1.2

Learn more:

You can learn more about the proportionality in brainly.com/question/10708697

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Answer:

A. Yes the table represents a proportional relationship

B. The constant of proportionality is 1.2

Step-by-step explanation:

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