11:42 ermathexpert.online 15. Question Category: proportioanl Q15: If \( \frac{y}{8}=\frac{4}{x} \), where \( x \times y \neq 0 \), then which of the following expressions is \( y \) proportional to? A) \( x+4 \) B) \( x^{2} \) C) \( \frac{1}{x} \) D) \( x \) 1. A 2. B 3. C 4. D Back

To solve the equation \( \frac{y}{8}=\frac{4}{x} \), we can cross-multiply to find that \( y = \frac{32}{x} \). This shows that \( y \) is inversely proportional to \( x \). Specifically, as \( x \) increases, \( y \) decreases, confirming that the relationship \( y \) and \( x \) follows the rule of inverse proportionality. In practical terms, this relationship can be observed in scenarios like speed and travel time—where, for constant distance, if you increase the speed (representing \( x \)), the time taken (representing \( y \)) decreases. So, next time you're racing, remember to consider the inverse connections!