To determine after how many miles the cost is the same for both the bus and the taxi, we need to find the point where the lines representing their costs intersect on the graph.
From your description:
- The taxi starts at (0,0) and goes up to (12, ??) (we'll focus on the mileage).
- The bus starts at (10,??) and goes up to (16, ??) (again focusing on mileage).
While we don't have the exact costs, we can analyze the graphical relationships. In a linear relationship, the cost of the taxi seems to increase constantly as the distance increases from the origin.
It sounds like you may have to look for the value of distance (miles) on the x-axis where the cost for both the taxi and the bus are equal, which would typically mean finding the x-coordinate at which their lines on the graph intersect.
Given the options provided, we can eliminate some based on the problem:
A. 8 B. 5 C. 6 D. 12
The intersection point usually falls between the starting point of the bus and taxi lines, which typically would be a value nearer to 6 miles based on standard cost structures (with the bus starting at an established base fare).
To accurately find the answer, we would need to know their respective rates per mile and the starting fees (if any). However, given the options provided and without any visual confirmation, C. 6 would be a reasonable guess based on the average cost per mile common in city transport.
You may want to double-check if the lines intersect closer to one of these specified values based on the graph you see. If the graphical angles (slopes) help determine the rates, selecting alternative measures may yield the best precise mileage approximation based directly on the cost patterns shown.
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