To determine after how many miles it costs the same for both the bus and the taxi, we need to find the point at which the cost for both modes of transportation is equal.
Based on your description:
- The taxi's cost increases linearly and stops a little after 12 miles.
- The bus starts at 10 dollars and continues to increase to a little after 16 miles.
If we visualize the cost of both the taxi and the bus on the given axes (cost in dollars on the y-axis and distance in miles on the x-axis), the intersection point will represent the distance where the costs are equal.
Since you didn't provide specific equations or the exact graph, I'll make a reasonable assumption based on typical cost structures:
- Assuming the taxi's cost equation could look like this: Price_taxi = m_taxi * Distance + b_taxi.
- Assuming the bus's cost equation might be: Price_bus = m_bus * Distance + b_bus.
Knowing the characteristics of the taxi and bus from your description, we can analyze the situation carefully.
However, you provided four response options without specific equations or further context.
- From the context given and the option D (12 miles), it could be inferred that 12 miles is the likely point at which the costs become equal for the two transportation methods, as it seems to be a common distance threshold in such problems.
Thus, upon analyzing the scenario, the most apparent choice is D: 12 miles.
If you need further clarification or calculations based on exact cost parameters or equations, feel free to provide them!
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