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 3.3 3.6 4.7 5.4 5.9 D = distance to horizon (a) Make a model of D as a power function of h. (Round regression parameters to one decimal place.) OD=3.52 x 0.82 D = 0.73 x 2.45 OD 1.96 x 40.92 ⒸD= 5.32 x 1.12 ⒸD= 1.26 x 40.52 (b) If height above sea level is increased by 10%, by what percentage is distance to the horizon increased? Round your answer to the nearest whole number. (Use the model found in part (a).) 10

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 3.3 3.6 4.7 5.4 5.9 D = distance to horizon (a) Make a model of D as a power function of h. (Round regression parameters to one decimal place.) OD=3.52 x 0.82 D = 0.73 x 2.45 OD 1.96 x 40.92 ⒸD= 5.32 x 1.12 ⒸD= 1.26 x 40.52 (b) If height above sea level is increased by 10%, by what percentage is distance to the horizon increased? Round your answer to the nearest whole number. (Use the model found in part (a).) 10

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

Problem 2TU

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