You found that the point of intersection on the graph is (3, 55), and you solved algebraically to find that x = 3 and y = 55. What does the point (3, 55) mean in the context of this problem?

Question

You found that the point of intersection on the graph is (3, 55), and you solved algebraically to find that x = 3 and y = 55. What does the point (3, 55) mean in the context of this problem?
x
y
Roger
Bill
0
1
2
3
4
5
6
7
8
9
10
0
11
22
33
44
55
66
77
88
99
110
Time (hrs)
Distance from home (km)

Roger is 55 kilometers away from home and Bill is 3 kilometers away from home.

Roger and Bill are both 55 kilometers away from home after 3 hours.

Roger and Bill are both 3 kilometers away from home after 55 hours.

GPT-4o mini · Answer

The correct interpretation of the point (3, 55) in the context of this problem is:

Roger and Bill are both 55 kilometers away from home after 3 hours.

In this case, the x-coordinate (3) represents the time in hours, and the y-coordinate (55) represents the distance from home in kilometers. Therefore, at the time of 3 hours, both Roger and Bill are at the same distance of 55 kilometers from home.