Question

Which set of values could be from a direct proportion?

Answer 1

It is A, because a direct proportion follows the rule y=kx, and in A, k = 12 and it works for all of the x and y values

Answer 2

Answer: Option 'A' is correct.

Step-by-step explanation:

Since we know that

Direct proportion means with every increase in x, there is increase in y with constant k. i.e.

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

So, it becomes,

A)

$\frac{x_1}{y_1}=\frac{x_2}{y_2}=\frac{x_3}{y_3}=\frac{x_4}{y_4}\\\\\frac{0.5}{6}=\frac{1}{12}=\frac{2}{24}=\frac{3}{36}$

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

So, it is in direct proportion.

b)

$\frac{x_1}{y_1}=\frac{x_2}{y_2}=\frac{x_3}{y_3}=\frac{x_4}{y_4}\\\\\frac{0}{0}\neq\frac{1}{1}\neq\frac{2}{4}\neq\frac{3}{6}$

C)

$\frac{x_1}{y_1}=\frac{x_2}{y_2}=\frac{x_3}{y_3}=\frac{x_4}{y_4}\\\\\frac{0}{2}\neq\frac{2}{4}\neq\frac{4}{6}\neq\frac{6}{8}$

Hence, we can see that Option 'A' is correct.