If w varies inversely as y and w = 2 when y = 3, find w when y = 6.

To find the value of w when y = 6, we can use the inverse variation formula.

Step 1: Write the inverse variation formula: w = k/y, where k is the constant of variation.

Step 2: Substitute the given values into the formula to find the value of k. We are given that w = 2 when y = 3. So, we can write the equation as 2 = k/3.

Step 3: Solve for k. To isolate k, we can multiply both sides of the equation by 3: 2 * 3 = k, which simplifies to k = 6.

Step 4: Now that we have the value of k, we can use it to find w when y = 6. Substitute k = 6 and y = 6 into the inverse variation formula: w = 6/6.

Step 5: Simplify the expression: w = 1.

Therefore, when y = 6, w = 1.