The correct option is Option C: the missing value is 12.
What is the directly propotional?
In directly proportionality, if one quantity increases then the other quantity also increases. if one quantity decreases then other quantity also decreases.
x ∝ y
⇒ x= ky
where k is proportionality constant.
Here the value x1, y1 is given by
x1=8
y1=6
as x1 is directly proportional to y1.
x1 = ky1
⇒8=6k
⇒k= 8/6
⇒k =4/3
If x3= 24 then x3 =ky3
⇒24=(4/3)y3
⇒y3= 24/(4/3)= 18 which is true from the table
Then given in the question x2=16
As x2 is directly proportional to y2.
x2 ∝ y2
⇒ x2 =ky2
where k= 4/3
⇒ 16 = (4/3)y2
⇒ y2= 16/(4/3)
⇒y2= 16*3/4
⇒y2= 12
The correct option is Option C: the missing value is 12.
Learn more about proportionality
here: https://brainly.com/question/24868934
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