Problem

If y varies directly with x, and y = 8 when x = 2, find the equation of variation.

Answer

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Answer

Step 4: Substitute k = 4 into the equation y=kx to find the equation of variation.

Steps

Step 1 ：Step 1: Since y varies directly with x, we can write this relationship as y=kx, where k is the constant of variation.

Step 2 ：Step 2: Substitute the given values into the equation. We get 8=k⋅2.

Step 3 ：Step 3: Solve for k. We get k=82=4.

Step 4 ：Step 4: Substitute k = 4 into the equation y=kx to find the equation of variation.

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