Question

1 p Which table shows a constant of proportionality of 2 for the ratio of string instruments to percussion instruments? *

Answer 1

Answer:

Option 3

Explanation:

For Option 1;

The ratio of string instruments to percussion instruments is as shown below;

$\begin{gathered} \frac{2}{3}=\frac{2}{3} \\ \frac{4}{6}=\frac{2}{3} \\ \frac{6}{9}=\frac{2}{3} \end{gathered}$

We can see that the constant of proportionality isn't 2 so this is not the correct option.

For Option 2;

The ratio of string instruments to percussion instruments is as shown below;

$\begin{gathered} \frac{2}{5}=\frac{2}{5} \\ \frac{4}{10}=\frac{2}{5} \\ \frac{6}{15}=\frac{2}{5} \end{gathered}$

We can also see that the constant of proportionality isn't 2 so this is not the correct option.

For Option 3;

The ratio of string instruments to percussion instruments is as shown below;

$\begin{gathered} \frac{2}{1}=2 \\ \frac{4}{2}=2 \\ \frac{6}{3}=2 \end{gathered}$

We can see from the above that the constant of proportionality is 2 so this is the correct option