Question

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Answer 1

Answer:

The ordered pairs (3 , 6) , (5 , 10) show a proportional relationship ⇒ last answer

Step-by-step explanation:

* Lets explain how to sole the problem

- Proportional relationship describes a simple relation between

 two variables

- In direct proportion if one variable increases, then the other variable

 increases and if one variable decreases, then the other variable

 decreases

- In inverse proportion if one variable increases, then the other variable

 decreases and if one variable decreases, then the other variable

 increases

- The ratio between the two variables is always constant

- Ex: If x and y are in direct proportion, then x = ky, where k

 is constant

 If x and y in inverse proportion, then x = k/y, where k is constant

* Lets solve the problem

# Last table

∵ x = 3 and y = 6

∴ x/y = 3/6 = 1/2

∵ x = 5 and y = 10

∴ x/y = 5/10 = 1/2

∵ 1/2 is constant

∵ x/y = constant

∴ x and y are proportion

* The ordered pairs (3 , 6) , (5 , 10) show a proportional relationship