Question

If x=8 when y=4, find X when y=9

Answer 1

When y = 9, x is equal to 18 in the direct variation scenario.


To solve for x when y = 9 using the given information that x = 8 when y = 4, you can use the concept of direct variation. In direct variation, the relationship between two variables is expressed as y = kx, where k is the constant of variation.

Given that x = 8 when y = 4, we can find k using this information:

`\[4 = k * 8\]`

Now, solve for k:

`\[k = (4)/(8) = (1)/(2)\]`

Now that we have the constant of variation
`(\(k = (1)/(2)\))`, we can use it to find x when y = 9. Substitute k and the given values into the direct variation equation:

`\[9 = (1)/(2) * x\]`

To solve for x, multiply both sides of the equation by 2:

`\[2 * 9 = x\]`

x = 18

So, when y = 9, x is equal to 18 in this direct variation scenario.