Question

which one of the following is an example of a direct variation (1)y=4x (2)xy=1/2 (3) y=2+x (4) y=2/x​

Answer 1

Answer:

We have 

xy=5So,y=x5

So it is indirect relation rather direct relation.

Answer 2

Given,

Four options are given, (1)y=4x (2)xy=1/2 (3) y=2+x (4) y=2/x​.

To Find,

The example of direct variation among 4 options.

Solution,

Basically, by definition, a straightforward link between two variables is described by direct variation.

To find among 4 options which is/are direct variation we can use the following mathematical process,

The format of any direct variation, y=kx , for some constant k, often known as the constant of proportionality or the constant of variance

So clearly the direct variation is (1)y=4x.

Where x and y are the variables so k= 4(where it is constant)  

To represent a direct variation between variablesy=4x, x, and y, k=4.  

If the value of x will increase we can see an increase in the y value too.

Hence, The direct variation is (1)y=4x.