Modeling Data A pond is approximately circular, with a diameter of 400 feet. Starting at the center, the depth of the water is measured every 25 feet and recorded in the table (see figure).
x |
0 |
25 |
50 |
Depth |
20 |
19 |
19 |
x |
75 |
100 |
125 |
Depth |
17 |
15 |
14 |
x |
150 |
175 |
200 |
Depth |
10 |
6 |
0 |
(a) Use the regression capabilities of a graphing utility to find a quadratic model for the depths recorded in the table. Use the graphing utility to plot the depths and graph the model.
(b) Use the
(c) Use the result of part (b) to approximate the number of gallons of water in the pond. (Hint: 1 cubic foot of water is approximately 7.48 gallons.)
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Chapter 7 Solutions
EBK CALCULUS: EARLY TRANSCENDENTAL FUNC
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