A sailor records the distances D, in miles, to the visible horizon at several heights h, in feet, above the surface of a calm ocean. h = height D = distance to horizon 8 4.7 5.4 12 16 19 3.3 3.6 5.9 (a) Make a model of D as a power function of h. (Round regression parameters to one decimal place.) OD= 0.73 x h2.45 OD = 5.32 x h1.12 D= 1.96 x h0.92 OD = 3.52 x h0.82 OD = 1.26 x h0.52 (b) If height above sea level is increased by 20%, by what percentage is distance to the horizon increased? Round your answer to the nearest whole number. (Use the model found in part (a).) %

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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Chapter5: A Survey Of Other Common Functions
Section5.3: Modeling Data With Power Functions
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(b) If height above sea level is increased by 20%, by what percentage is distance to the horizon increased? Round your answer to the nearest whole number. (Use the model found in part (a).)

A sailor records the distances D, in miles, to the visible horizon at several heights h, in feet, above the surface of a calm ocean.
h = height
D = distance to horizon
6
8
12
16
19
3.3
3.6
4.7
5.4
5.9
(a) Make a model of D as a power function of h. (Round regression parameters to one decimal place.)
OD = 0.73 x h2.45
OD = 5.32 x hl.12
O D= 1.96 x h0.92
OD= 3.52 x h0.82
OD = 1.26 x h0.52
(b) If height above sea level is increased by 20%, by what percentage is distance to the horizon increased? Round your answer to the nearest whole number. (Use the model found in part
(a).)
Transcribed Image Text:A sailor records the distances D, in miles, to the visible horizon at several heights h, in feet, above the surface of a calm ocean. h = height D = distance to horizon 6 8 12 16 19 3.3 3.6 4.7 5.4 5.9 (a) Make a model of D as a power function of h. (Round regression parameters to one decimal place.) OD = 0.73 x h2.45 OD = 5.32 x hl.12 O D= 1.96 x h0.92 OD= 3.52 x h0.82 OD = 1.26 x h0.52 (b) If height above sea level is increased by 20%, by what percentage is distance to the horizon increased? Round your answer to the nearest whole number. (Use the model found in part (a).)
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