Step-by-step explanation:
- [tex]slope \: of \: section \: d \: = gradient = \frac{y2 - y1}{x2 - x1} \\slope = \frac{6 - 0}{32 - 20} = \frac{6}{12} = \frac{1}{2} = 0.5 [/tex]
- The slope is negative because it moves downward from the left.If it were to move upwards from the left it would be a positive slope.
- The slope intervals are different because;
- the factors responsible for slope are not constant during the journey. i.e the time taken and the distance covered for each part of the journey are different
- The speed for each part of the journey is different.
For a : Speed = distance / time
Distance covered = y2 - y1 = 20 - 15 = 5
Time taken = x2 - x1 = 8 - 0 = 8
Speed in part a : 5/8 = 0.625
4. It takes her 32 minutes to get home. We can see from the graph that it is the total time taken throughout the whole journey.