Question

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)

Answer 1

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.

Thank you and pls let me know if its correct have a good day :D