If a completely full 5-gallon water jug is drained through a spigot, the depth is given by the formula below wheret is the time, in minutes, that the spigot is open and D is the depth, in inches, above the spigot. D = 0.265 - 4.055t + 15.5 (a) Make a graph of D versus t. Include values of t up to 7.5 minutes. 16 15 32 30 28 14 13 12 26 24 11 22 10 20 18 16 7. 14 12 10 0.5 11.5 2 2.5 3 3.5 4 4.5 5 5.5 6 65 77.5 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 5.5 6 6.5 7 7.5 20 19 18 17 40 16 15 14 13 12 11 D 10 6. 36 30 25 20 15 5 10 3 0.5 11.5 2 2.5 3 3.5 4 4.5 5 5.5 6 65 77.5 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 5.5 6 65 77.5 (b) Calculate D(1). (Round your answer to two decimal places.) D(1) = Explain in practical terms what your answer means.
If a completely full 5-gallon water jug is drained through a spigot, the depth is given by the formula below wheret is the time, in minutes, that the spigot is open and D is the depth, in inches, above the spigot. D = 0.265 - 4.055t + 15.5 (a) Make a graph of D versus t. Include values of t up to 7.5 minutes. 16 15 32 30 28 14 13 12 26 24 11 22 10 20 18 16 7. 14 12 10 0.5 11.5 2 2.5 3 3.5 4 4.5 5 5.5 6 65 77.5 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 5.5 6 6.5 7 7.5 20 19 18 17 40 16 15 14 13 12 11 D 10 6. 36 30 25 20 15 5 10 3 0.5 11.5 2 2.5 3 3.5 4 4.5 5 5.5 6 65 77.5 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 5.5 6 65 77.5 (b) Calculate D(1). (Round your answer to two decimal places.) D(1) = Explain in practical terms what your answer means.
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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Author:Bruce Crauder, Benny Evans, Alan Noell
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Chapter2: Graphical And Tabular Analysis
Section2.CR: Chapter Review Exercises
Problem 4CR: Water Jug If a completely full 5-gallon water jug is drained through a spigot, the depth is given by...
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Transcribed Image Text:If a completely full 5-gallon water jug is drained through a spigot, the depth is given by the formula below wheret is the time, in minutes, that the spigot is open and D is the
depth, in inches, above the spigot.
D = 0.265 - 4.055t + 15.5
(a) Make a graph of D versus t. Include values of t up to 7.5 minutes.
16
15
32
30
28
14
13
12
26
24
11
22
10
20
18
16
7.
14
12
10
0.5 11.5 2 2.5 3 3.5 4 4.5 5 5.5 6 65 77.5
0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 5.5 6 65 7 7.5
20
19
18
17
40
16
15
14
13
36
30
12
11
D 10
6.
25
20
15
10
3
0.5 11.5 2 2.5 3 3.5 4 4.5 5 5.5 6 65 77.5
0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 5.5 6 65 77.5
(b) Calculate D(1). (Round your answer to two decimal places.)
D(1) =
Explain in practical terms what your answer means.
This answer has not been graded yet.
(c) When will the water jug be completely drained? (Round your ansver to two decimal places.)
min
(d) Does the water drain faster near the beginning or when the water is mostly drained?
O The water drains faster when it is mostly drained.
O The water drains faster near the beginning.
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