Subjects algebra

Constant Proportionality Ca1C8E

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Search Solutions

1. The problem states that $x$ and $y$ are proportional, meaning they satisfy the equation $y = rx$ where $r$ is the constant of proportionality. 2. To find $r$, we use the formula $r = \frac{y}{x}$. 3. Using the given pairs $(x, y)$: - For $x=3$, $y=30$, $r = \frac{30}{3} = 10$ - For $x=10$, $y=100$, $r = \frac{100}{10} = 10$ - For $x=16$, $y=160$, $r = \frac{160}{16} = 10$ 4. Since $r$ is the same for all pairs, the constant of proportionality is $r = 10$. Final answer: $r = 10$