Question

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

Answer 1

Option 3

Step-by-step explanation:

For Option 1;

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

`\begin{gathered} (2)/(3)=(2)/(3) \\ (4)/(6)=(2)/(3) \\ (6)/(9)=(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} (2)/(5)=(2)/(5) \\ (4)/(10)=(2)/(5) \\ (6)/(15)=(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} (2)/(1)=2 \\ (4)/(2)=2 \\ (6)/(3)=2 \end{gathered}`

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