To determine at what distance the cost for both the bus and taxi is the same, we need to analyze the information provided about their costs versus distance.
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The taxi starts at $0 and goes up to 12 miles, which means the cost is likely linear until it reaches the maximum distance of 12 miles.
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The bus starts at $10 and goes up to 16 miles, indicating a different cost structure.
From the graph, based on the information given:
- The taxi's cost starts at $0, and we can assume it may be increasing, often at a constant rate, up to the maximum distance of 12 miles.
- The bus starts at $10, which is already $10 more than the taxi at the starting point.
Without the exact slope or cost given for both transportation methods in the question, we can logically deduce the options given:
Since the taxi's cost starts at $0 and the bus starts at $10, the taxi can never be cheaper than the bus before they reach the point of equivalent costs, so the point of intersection will lie within the taxi’s range to 12 miles.
From the given options:
- The maximum distance for the taxi where it can potentially meet the bus cost is at 12 miles.
- Since option D is 12 and is within the range of maximum miles the taxi operates, this implies that at some point under 12 miles, they become equal.
Therefore, from the provided options, the answer is:
D 12
This choice reflects the maximum point where we can confirm that both modes of transportation could reach an equal cost based on the graphical representation.
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