Answer:
A. You commute to school by walking 0.5 mile to the bus stop in 10 minutes, then waiting 4 minutes for the bus, then riding the bus for 2 miles in 4 minutes.
B. The slope of the first part (walking) is 0.05
The slope of the second part (waiting) is 0.
The slope of the third part (riding the bus) is 0.5
Explanation:
From the graph, you can see that a distance of 0.5 mile was covered in the first 10 minutes of commuting. This means that you walked 0.5 mile for 10 minutes to where you want to wait to board a bus.
Then you spent another 4 minutes in waiting for the bus (14 - 10 = 10), while remaining on the same location. No distance was covered during this time spent, as we can see, the slope is horizontal.
You later got a bus, which travelled, 2 miles (2.5 - 0.5 = 2 miles), from where you boarded the bus to your final destination for a period of 4 minutes (18 - 14 = 4 mins).
In simple terms you can describe your commute as follows:
You commute to school by walking 0.5 mile to the bus stop in 10 minutes, then waiting 4 minutes for the bus, then riding the bus for 2 miles in 4 minutes.
B. Slope = rise/run
Therefore:
The slope of the first part (walking) is
.
The slope of the second part (waiting) is 0. (slope of horizontal line is always 0)
The slope of the third part (riding the bus) is
.