Graph the hikers' progress.The first point on the line coincides with the _________ rate:the rate of increase in elevation of _______ feet per hour.The graph starts at the _____________, because the hikersstarted at base camp.The last point on the line indicates the total elevation increasefor the duration of the hike.
Question
Graph the hikers' progress.The first point on the line coincides with the _________ rate:the rate of increase in elevation of _______ feet per hour.The graph starts at the _____________, because the hikersstarted at base camp.The last point on the line indicates the total elevation increasefor the duration of the hike.
Solution
To graph the hikers' progress, follow these steps:
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Identify the rate of increase in elevation. This should be given in the problem (for example, 500 feet per hour). This is the slope of the line.
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The graph starts at the origin (0,0) because the hikers started at base camp, which is the starting point or the y-intercept of the graph.
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Plot the first point on the line. This point coincides with the rate of increase in elevation. For example, if the rate is 500 feet per hour, the first point on the line would be (1,500) assuming that the x-axis represents time in hours and the y-axis represents elevation in feet.
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Continue to plot points based on the rate of increase in elevation. For example, after 2 hours, the hikers would be at (2,1000), after 3 hours they would be at (3,1500), and so on.
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Draw a line through the points to represent the hikers' progress.
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The last point on the line indicates the total elevation increase for the duration of the hike. For example, if the hike lasted 5 hours, the last point on the line would be (5,2500), indicating a total elevation increase of 2500 feet.
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