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 3.3 3.6 4.7 6 8 12 16 19 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 × h2.45 D = 5.32 x h1.12 O D = 1.96 x h0.92

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Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
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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
6.
8
12
16
19
D = distance to horizon
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 × h2.45
D = 5.32 × h1.12
D = 1.96 × h0.92
D = 3.52 × h0.82
D = 1.26 × 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 6. 8 12 16 19 D = distance to horizon 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 × h2.45 D = 5.32 × h1.12 D = 1.96 × h0.92 D = 3.52 × h0.82 D = 1.26 × 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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