To solve this problem, we need to identify which of the rational numbers listed are plotted on the vertical number line in the image.

Analysis of the Vertical Number Line:

The number line has dots at the following values:

• $-3$
• $-1$
• $0$
• $0.6$
• $1$
• $2$

Options Provided:

Let's check each option to see if they match the values on the number line:

1. $-3$ - There is a dot at $-3$ on the number line. ✔️
2. $\frac{16}{5}$ - This equals $3.2$, which is not plotted on the number line. ❌
3. $\frac{4}{5}$ - This equals $0.8$, which is not plotted on the number line. ❌
4. $-2.75$ - This is approximately $-2\frac{3}{4}$, which is not on the number line. ❌
5. $-2\frac{1}{3}$ - This equals approximately $-2.333$, not on the number line. ❌
6. $2$ - There is a dot at $2$ on the number line. ✔️
7. $\frac{17}{4}$ - This equals $4.25$, which is not on the number line. ❌
8. $0.6$ - There is a dot at $0.6$ on the number line. ✔️

Conclusion:

The correct rational numbers that are plotted on the vertical number line are:

• $-3$
• $2$
• $0.6$

Would you like more details or have any questions?

Related Questions:

1. What makes a number rational?
2. How do you convert a fraction to a decimal?
3. Can you have irrational numbers on a number line?
4. How do you plot decimals and fractions on a number line?
5. Why are some rational numbers not on the number line shown?

Tip:

To determine if a number is rational, check if it can be expressed as a fraction where both the numerator and denominator are integers, and the denominator is not zero.