To accurately determine which taxi service is the better deal based on the given system of linear equations and the graph, you would generally look for the point where the two lines intersect. This point indicates the mileage at which both taxi services cost the same.
If Taxi A is cheaper than Taxi B up to this intersection point, then Taxi A is the better deal for distances up to that point. Conversely, if Taxi B is cheaper until the intersection, then it would be the better deal for those miles.
Assuming you analyze the graph and find that the lines meet at 7.5 miles, then the statement "Taxi A is the better deal for the first 7.5 miles" would be accurate if Taxi A's line is below Taxi B's line until that intersection point. After that point, if Taxi B's line is below Taxi A's, then Taxi B would be the better deal for distances beyond 7.5 miles.
Thus, the correct statement based on your description would likely be:
Taxi A is the better deal for the first 7.5 miles.
However, please confirm the intersection point visually on the graph to ensure accuracy.