Question

Find the missing value of the direct variation (2,5) (5,y)

Answer 1

The missing value y=12.5 and we have (5,12.5)

Explanation:

The formula used for direct variation is:

`y\: \alpha \:x\\y=kx`

We need to find missing value (2,5)(5,y)

First we will find k, and then y

We have x=2, y=5

Find k:

`y=kx\\5=k(2)\\k=(5)/(2)\\k=2.5`

Now, we cam find missing value in (5,y)

We have x=5, k=2.5 and y=?

`y=kx\\y=2.5(5)\\y=12.5`

So, the missing value y=12.5 and we have (5,12.5)