Charlie and Sophie are planning a climb. They select a simple route and begin to plan...

    

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Charlie and Sophie are planning a climb. They select a simple route and begin to plan their expedition. 1. A pitch is a section of a climbing route between two anchor points. Charlie and Sophie have chosen a route that is 500 feet long. They plan to use pitches that are 125 feet long. a. Find the number of pitches they will need for their route. Justify your answer. b. Explain what the solution means in the context of the problem. 2. Charlie and Sophie complete the climb in about 2 hours. a. Find their average speed in feet per minute. Justify your answer. b. Explain what the solution means in the context of the problem. 3. Charlie and Sophie had so much fun on the climb that they want to climb again next weekend. Their next route is 1200 feet long. They visit rock climbing websites and learn that other climbers recommend 8 pitches for this route. On average, how long must each pitch be for Charlie and Sophie to complete this climb in 8 pitches? Justify your answer. 4. Use the average speed from their last climb to estimate how long (in hours) it will take them to complete this climb. Explain how you solved the problem. Explain why this prediction may not be accurate. Charlie and Sophie are planning a climb. They select a simple route and begin to plan their expedition. 1. A pitch is a section of a climbing route between two anchor points. Charlie and Sophie have chosen a route that is 500 feet long. They plan to use pitches that are 125 feet long. a. Find the number of pitches they will need for their route. Justify your answer. b. Explain what the solution means in the context of the problem. 2. Charlie and Sophie complete the climb in about 2 hours. a. Find their average speed in feet per minute. Justify your answer. b. Explain what the solution means in the context of the problem. 3. Charlie and Sophie had so much fun on the climb that they want to climb again next weekend. Their next route is 1200 feet long. They visit rock climbing websites and learn that other climbers recommend 8 pitches for this route. On average, how long must each pitch be for Charlie and Sophie to complete this climb in 8 pitches? Justify your answer. 4. Use the average speed from their last climb to estimate how long (in hours) it will take them to complete this climb. Explain how you solved the problem. Explain why this prediction may not be accurate.