x varies inversely as y. When x = 3.5, then y = 2.4. What is the value of y…

When two quantities vary inversely, their product remains a constant value: x × y = k. As one quantity increases, the other decreases in the same proportion, unlike direct variation where the ratio x/y (not the product) stays fixed.

1. Since x varies inversely as y, the product x × y is the same constant for every corresponding pair of values.

2. Using the given pair, x = 3.5 and y = 2.4, the constant is k = 3.5 × 2.4 = 8.4.

3. For the new value x = 5.6, the same constant must hold: 5.6 × y = 8.4.

4. Solving for y: y = 8.4 ÷ 5.6 = 1.5.

Cross-check: multiplying the new pair gives 5.6 × 1.5 = 8.4, the same constant found from the first pair, confirming the value.

So, y = 1.5 when x = 5.6.