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

Sagot :

Answer:

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

Step-by-step explanation:

The formula used for direct variation is:

[tex]y\: \alpha \:x\\y=kx[/tex]

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:

[tex]y=kx\\5=k(2)\\k=\frac{5}{2}\\k=2.5[/tex]

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

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

[tex]y=kx\\y=2.5(5)\\y=12.5[/tex]

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