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If a completely full 5-gallon water jug is drained through a spigot, the depth is given by the formula: D = 0.265t2 - 4.055t + 15.5, where t is the time, in minutes, that the spigot is open and D is the depth, in inches, above the spigot. a. Make a graph of D verses t. Include values of t up to 7.5 minutes. b. Calculate D(3) and explain in practical terms what your answer means. C. When will the water jug be completely drained? d. Does the water drain faster near the beginning or when the water is mostly drained?

If a completely full 5-gallon water jug is drained through a spigot, the depth is given by the formula: D = 0.265t2 - 4.055t + 15.5, where t is the time, in minutes, that the spigot is open and D is the depth, in inches, above the spigot. a. Make a graph of D verses t. Include values of t up to 7.5 minutes. b. Calculate D(3) and explain in practical terms what your answer means. C. When will the water jug be completely drained? d. Does the water drain faster near the beginning or when the water is mostly drained?

Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter9: Systems Of Linear Equations
Section9.6: Wind And Water Current Problems
Problem 9P
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3. If a completely full 5-gallon water jug is drained through a spigot, the depth is given by the formula: D = 0.265t² - 4.055t + 15.5, where t is the time, in minutes, that the spigot is open and D is the depth, in inches, above the spigot. a. Make a graph of D verses t. Include values of t up to 7.5 minutes. b. Calculate D (3) and explain in practical terms what your answer means. C. When will the water jug be completely drained? d. Does the water drain faster near the beginning or when the water is mostly drained?
Transcribed Image Text:3. If a completely full 5-gallon water jug is drained through a spigot, the depth is given by the formula: D = 0.265t² - 4.055t + 15.5, where t is the time, in minutes, that the spigot is open and D is the depth, in inches, above the spigot. a. Make a graph of D verses t. Include values of t up to 7.5 minutes. b. Calculate D (3) and explain in practical terms what your answer means. C. When will the water jug be completely drained? d. Does the water drain faster near the beginning or when the water is mostly drained?
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