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Allison and her husband Noah both get in their cars and begin to drive at the same time. Allison starts 360 mi from their home and drives directly home at a constant rate of 50 mph. Noah starts at their home and drives away from the home at a constant rate of 40 mph. The system that models this situation is given, where d represents the distance from home, and t represents time, in hours. The solution to the system is (4, 160).
What is the correct interpretation of the solution to this system?
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Noah will be 160 mi from home and Allison will be 4 mi from home.
Allison and Noah will both be 160 mi from home after 4 h.
Noah will be 4 mi from home and Allison will be 160 mi from home.
Allison and Noah will both be 4 mi from home when they drive for 160 min.
I think C because i think that seems the most logical
The answer should be D. The solution is where the lines intersect. Since the equations model their distance from home, the solution (or intersection) is when they are in the same location.