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