Use the graph you will make in question 1 for questions 2-5 as well. Students measured different bounce heights of a basketball when the pressure inside the ball changed.
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Use the desmos link to graph the data below. Take a screenshot of your graph and paste it in the "Show your work" section.
https://www.desmos.com/calculator/a1qvxo9yzt
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2.
What is the pattern in your graph from question 1?
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3.
Use your graph or the mathematical model to predict how high the ball will bounce if the pressure is 1 kPa.
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4.
Use the mathematical model to calculate how high the ball will bounce if the pressure is 6 kPa. Show your work in the "Show your work" section with the drawing tool or by writing on paper and inserting a photo of your work.
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5.
How much confidence do you have in your prediction for #4 above? Explain. You may the confidence matrix below to help you.
Use the graph you will make in question 6 to also answer questions 7-10. Some students measured how does the volume of an enclosed gas in a syringe changed when they increased the pressure of the gas inside the syringe.
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6.
Use the desmos link to graph the data below. Take a screenshot of your graph and paste it in the "Show your work" section.
https://www.desmos.com/calculator/clnirez7ys
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7.
What is the pattern in your graph from question 6?
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8.
Use the graph or the mathematical model to predict the volume when the pressure is 5 kPa.
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9.
Use the mathematical model to calculate what the volume will be when the pressure is 20 kPa. Show your work in the "Show your work" section with the drawing tool or by writing on paper and inserting a photo of your work.
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10.
Does the pattern in the volume vs. pressure data make sense? Explain.