# If y varies directly with x, and y=10 when x=15, how do you find y when x=6?

To find y when x=6, we can use the concept of direct variation. In direct variation, the relationship between two variables can be expressed as y = kx, where k is the constant of variation.

To find the value of k, we can use the given information that y=10 when x=15. Plugging these values into the equation, we get 10 = k * 15. Solving for k, we divide both sides by 15, giving us k = 10/15 or k = 2/3.

Now that we have the value of k, we can substitute it into the equation y = kx. Plugging in x=6, we get y = (2/3) * 6. Simplifying, y = 4.

Therefore, when x=6, y is equal to 4.

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y = 4

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