To expand the expression \(\frac{1}{3}(q - 6)\) using the Distributive Property, you multiply \(\frac{1}{3}\) by each term inside the parentheses:
\[ \frac{1}{3}(q - 6) = \frac{1}{3} \cdot q - \frac{1}{3} \cdot 6 \]
Calculating each term:
\[ \frac{1}{3} \cdot q = \frac{1}{3}q \] \[ \frac{1}{3} \cdot 6 = 2 \]
So the expression becomes:
\[ \frac{1}{3}q - 2 \]
Thus, the correct expanded expression is:
\(\frac{1}{3}q - 2\)
It appears that none of the provided answers perfectly match the correct expression. However, the closest correct expression is:
Start Fraction 1 over 3 End Fraction q minus 2.