Alex hikes at a speed of 2 miles per hour for the first hour and then hikes at 0.9 miles per hour for the next 2 hours.
Explanation:
Step 1; First we need to determine how many different slopes there are on the given graph. There are two in this graph, one goes from 0 minutes to 60 minutes and the second one is from 60 minutes to 180 minutes. To calculate the speed of hiking we convert the time in minutes to 60.
Step 2; In the first line, Alex travels from 0 miles to 2 miles from 0 minutes to 60 minutes. So he has traveled 2 miles in 60 minutes. This equals 2 miles per hour.
Step 3; In the second line, Alex travels from 2 miles to 3.8 miles from 60 minutes to 180 minutes. So he traveled 1.8 miles in 120 minutes. This equals 0.9 miles per hour.