Megan went walking for $2$ hours and walked at a steady pace of $3$ mph. 

1. How far did she walk?

2. Make a careful graph of the situation with the horizontal axis having units of hours and the vertical axis having units of miles per hour. Shade the area under the curve. You should get a rectangle for the area under the curve. (The area “under” a curve means the area between the curve and the $x$-axis.)

3. Divide the rectangle into six smaller rectangles by drawing vertical lines at the $1$ hour and $2$ hour marks, and horizontal lines at the $1$ mph and $2$ mph marks.

4. Explain why each of the smaller rectangles that you created in part (c) represents a distance of $1$ mile that Megan walked. Hint: What are the units of the sides of the rectangles?