To determine the best interpretation of the graph, we need to analyze the descriptions provided in relation to the information given about the coordinate plane's axes.
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Axes Information:
- The x-axis represents time in minutes, ranging from 0 to 14.
- The y-axis represents distance in miles, also ranging from 0 to 14.
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Graph Characteristics:
- The line being plotted with three different sections likely indicates periods of constant speed and possibly stops.
Considering the provided responses:
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The first option states the car traveled for a total of 15 minutes, which is not possible since the x-axis only goes up to 14. This option can be ruled out.
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The second option also claims a total time of 15 minutes and therefore is also invalid.
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The third option mentions that the car traveled at a speed of \( \frac{2}{3} \) mile per minute and specifies a stop for 5 minutes to wait for a train. If the graph shows a flat line for that duration (indicating no distance traveled), this could match the description of the graph.
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The fourth option states a constant speed of 1 mile per minute for the entire distance, which contradicts the possibility of stops indicated by sections if the graph is segmented.
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The last option suggests a speed of 1 mile per minute for a total of 10 miles, which again would exceed the limits of the graph (time would exceed the 14 minutes if it implies continued travel without stops).
Based on this analysis, the best fit would be:
A car traveled at a speed of \( \frac{2}{3} \) mile per minute. In the middle of the trip, the car stopped for 5 minutes to wait for a train to cross.