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
Austin
Lucas
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)

Austin is 55 kilometers away from home and Lucas is 3 kilometers away from home.

Austin and Lucas are both 3 kilometers away from home after 55 hours.

Austin and Lucas are both 55 kilometers away from home after 3 hours.

GPT-4o mini · Answer

In the context of the problem, the point of intersection on the graph, (3, 55), indicates that Austin and Lucas are both 55 kilometers away from home after 3 hours.

This means that at the 3-hour mark, both individuals have traveled away from their starting point (home) to the same distance, which is 55 kilometers. If you need further clarification or context regarding Austin and Lucas's journeys, feel free to ask!