Final answer:
Derek will walk 9 miles in 120 minutes.
Step-by-step explanation:
To solve this problem, we can set up a proportion to find the distance Derek will walk in 120 minutes. The proportion can be written as:
6 miles / 80 minutes = x miles / 120 minutes
To solve for x, we can cross multiply and then divide:
80x = 6 * 120
80x = 720
x = 720 / 80
x = 9
Therefore, Derek will walk 9 miles in 120 minutes.