Determine if the graph shows a proportional relationship.
Time (hours)
11/2
5
9/2
4
7/2
3
5/2
2
3/2
1
1/2
0 15 30
45
60
75
X₂
90 105 120 135 150 165 180
Distance (miles)
To determine if the graph shows a proportional relationship, we need to check if the ratio of distance to time remains constant.
By looking at the values in the table, we can calculate the ratios:
15 / (11/2) = 13.6
30 / 5 = 6
45 / (9/2) = 10
60 / 4 = 15
75 / (7/2) = 21.4
90 / (5/2) = 36
105 / (3/2) = 70
120 / 2 = 60
135 / (3/2) = 90
150 / (1/2) = 300
165 / (1/2) = 330
180 / (1/2) = 360
As we can see, the ratio of distance to time is not constant. Therefore, the graph does not show a proportional relationship.