Question

Which set of values could be from a direct proportion

Answer 1

Answer:

"A"

Step-by-step explanation:

I got it correct

Answer 2

Answer:

First table

Step-by-step explanation:

We have to find the set of value which could be from a direct proportion.

We know that

Direct proportion :

When x is directly proportional to y

$x\propto y$

$x=ky$

Where k=Proportionality constant

$k=\frac{x}{y}$

K remain constant when x and y are in direct proportion

From first table

$k=\frac{\frac{1}{2}}{6}=\frac{1}{12}$

$k=\frac{1}{12}$

$k=\frac{2}{24}=\frac{1}{12}$

$K=\frac{3}{36}=\frac{1}{12}$

When x and y are both varies then ratio of x and y remain constant.Hence, it is in direct proportion.

From second table

$k=\frac{0}{0}=$ not ]define

$k=\frac{1}{1}=1$

It is not direct proportion because k does not remain constant.

From third table

$k=\frac{0}{2}=0$

$k=\frac{2}{4}=\frac{1}{2}$

It is not direct proportion because k does not remain constant.