To determine the rate of change of the cost with respect to the number of miles for the Yellow Cab Company, we would typically look for the slope of the line in the graph, which represents the cost per mile. Since I can't see the graph, I can guide you on how to figure it out.
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Identify two points on the line: Select two points (miles traveled, cost) on the line plotted in the graph.
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Calculate the slope: The slope (rate of change) can be calculated using the formula:
\[ \text{slope} = \frac{\text{change in cost}}{\text{change in miles}} = \frac{C_2 - C_1}{M_2 - M_1} \]
where \(C_1\) and \(C_2\) are costs at miles \(M_1\) and \(M_2\).
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Interpret the slope: The slope will give you the cost per mile.
Once you have calculated the slope, compare it to the options given:
A. $3 per mile
B. $2 per mile
C. $1 per mile
D. $0.50 per mile
Based on the slope you calculate, you can select the correct answer. If you have specific points or values which the graph represents, please provide them, and I can assist you further with the calculations.