You hike up a mountain. You climb steadily for 2 hours, then take a 30-minute break for lunch. Then you continue to climb, faster than before. When you make it to the summit, you enjoy the view for an hour. Finally, you decide to climb down the mountain, but stop halfway down for a short break. Then you continue down at a slower pace than before. Sketch a graph of the situation. a. Height (feet) Time (hours) b. Is the graph discrete or continuous? Explain your reasoning.

The graph is considered continuous due to the fact that it can take any amount of height, weight, and temperature. If it was discrete there would be a limit to your hike.

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