Explain what defines direct variation. Then, check which of the following tables include directly proportional quantities x and y x 1 2 3 4 y 7 14 21 28

Direct variation in mathematics is when two numbers are written in an equation where one of the numbers multiplied by a constant term to equal the other.

In the table in the equation, we see direct variation.

X Y

1 7

2 14

3 21

4 28

We can find the constant of the variation by dividing y by x. This constant should remain the same for all terms of x in the table with their corresponding y values.

y/x

7/1=7

14/2=7

21/3=7

28/4=7

As we can see, the values in the table all share a direct variation between x and y with the value 7.

This can be expressed in an equation: y = 7x.