Suppose the number of hours of sleep you obtain, s, is a linear function of the number of caffeinated beverages you drink, n. Furthermore, you have collected data to show that if you drink 3 caffeinated beverages you obtain 7 hours of sleep; whereas, if you drink 12 caffeinated beverages you obtain 1 hour of sleep. Find a formula for this linear function. Be careful to identify which variable is the independent variable. Show or explain your work. Interpret the slope within the context of this problem.
Suppose the number of hours of sleep you obtain, s, is a linear function of the number of caffeinated beverages you drink, n. Furthermore, you have collected data to show that if you drink 3 caffeinated beverages you obtain 7 hours of sleep; whereas, if you drink 12 caffeinated beverages you obtain 1 hour of sleep. Find a formula for this linear function. Be careful to identify which variable is the independent variable. Show or explain your work. Interpret the slope within the context of this problem.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.CR: Chapter 4 Review
Problem 87CR
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Suppose the number of hours of sleep you obtain, s, is a linear function of the number of caffeinated beverages you drink, n. Furthermore, you have collected data to show that if you drink 3 caffeinated beverages you obtain 7 hours of sleep; whereas, if you drink 12 caffeinated beverages you obtain 1 hour of sleep.
- Find a formula for this linear function. Be careful to identify which variable is the independent variable. Show or explain your work.
- Interpret the slope within the context of this problem.
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