Question

Which set of values could be from a direct proportion?

Answer 1

Answer:

The value of k remains constant for table 2

Step-by-step explanation:

Given tables of X values and Y values

To find which tables show the property of direct proportional:

Since Y is direct proportion to X

We write,

y=kx     [Equation]

where k is constant of proportion.

Therefore, If the value of k remains constant for any table then, that table shows a direct proportion between y and x values.

For first table :

Now,

when x=1, y=3

Putting into Equation

y=kx

3=k(1)

k=3

Similarly, other calculations are carried out and put it into the form of a table

Note: Figure show tables of given and their respective k values.

Thus, the value of k remains constant for table 2