To find the distance Mr. Roberts drove on Tuesday, we need to calculate half the distance he drove on Monday (which is 42 miles) and then add 5 miles to that value.
- Half of the distance driven on Monday is: \( 42 \div 2 \).
- Then, we add 5 miles to this half distance: \( (42 \div 2) + 5 \).
Thus, the correct expression that shows how to find the distance Mr. Roberts drove on Tuesday is:
D: \( (42 ÷ 2) + 5 \).