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Rewrite the equation from step 1 substituting in the value of.

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By rewriting the equation from step 1 substituting the value of k into it, the value of x is 22.5

A direct variation is a type of variation that has two types of variables in which a variable can be expressed in terms of the other with its constant.

For example;

If  x varies directly as y

Step 1:

Then

  • x [tex]\sim[/tex] y
  • x = ky ; where k is constant

Step 2:

The original question says:

  • if x varies directly as y, and x = 9 when y = 6, find x when y = 15

∴

x = ky    

9 = k × (6)

k = 9/6

k = 1.5

Step 3:

Now, we can rewrite the equation from step 1 substituting the value of k into it:

∴

x = ky

  • when y = 15 and k = 1.5

The value of (x) will be:

x = 1.5 (15)

x = 22.5

Learn more about Direct variation here:

https://brainly.com/question/25798903

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