Question

table 3: m n 5 3 10 6 30 18 1 3/5 h what is the constant of proportionality for each table? write your answer

Explanation:

Step1: Recall proportionality formula

If $n$ is proportional to $m$, then $n = km$, where $k$ is the constant of proportionality. We can find $k$ by taking the ratio $\frac{n}{m}$.

Step2: Use first - row values

For the first row where $m = 5$ and $n = 3$, we calculate $k=\frac{n}{m}=\frac{3}{5}$.

Step3: Check other rows

For the second row $m = 10$ and $n = 6$, $\frac{n}{m}=\frac{6}{10}=\frac{3}{5}$. For the third row $m = 30$ and $n = 18$, $\frac{n}{m}=\frac{18}{30}=\frac{3}{5}$. For the fourth row $m = 1$ and $n=\frac{3}{5}$, $\frac{n}{m}=\frac{\frac{3}{5}}{1}=\frac{3}{5}$.

Answer:

The constant of proportionality is $\frac{3}{5}$.