The side of a cylindrical can full of water springs a leak, and the water begins to stream out. (See the figure below.) The depth H, in inches, of water remaining in the can is a function of the distance D in inches (measured from the base of the can) at which the stream of water strikes the ground. Here is a table of values of D and H. Distance D in inches Depth H in inches 0 1.00 1 1.55 2 3.20 3 5.95 4 9.80
The side of a cylindrical can full of water springs a leak, and the water begins to stream out. (See the figure below.) The depth H, in inches, of water remaining in the can is a function of the distance D in inches (measured from the base of the can) at which the stream of water strikes the ground. Here is a table of values of D and H. Distance D in inches Depth H in inches 0 1.00 1 1.55 2 3.20 3 5.95 4 9.80
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter5: A Survey Of Other Common Functions
Section5.3: Modeling Data With Power Functions
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The side of a cylindrical can full of water springs a leak, and the water begins to stream out. (See the figure below.) The depth H, in inches, of water remaining in the can is a function of the distance D in inches (measured from the base of the can) at which the stream of water strikes the ground. Here is a table of values of D and H.
| Distance D in inches |
Depth H in inches |
|---|---|
| 0 | 1.00 |
| 1 | 1.55 |
| 2 | 3.20 |
| 3 | 5.95 |
| 4 | 9.80 |
(a) Use regression to find a formula for H as a quadratic function of D.
(b) When the depth is 4 inches, how far from the base of the can will the water stream strike the ground?
(c) When the water stream strikes the ground 5 inches from the base of the can, what is the depth of water in the can?
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