The right answer is C.
Let's find the value of each number to demonstrate.
[tex]\begin{gathered} 6\frac{2}{9}=6.22222\ldots \\ \sqrt[]{42}\approx6.48 \\ 6\frac{9}{16}=6.5625 \\ \sqrt[]{48}\approx6.93 \end{gathered}[/tex]
These values coincide with the points on the given number line. Let's graph these numbers.
