The table below shows the average stopping distance D, in feet, for a car on dry pavement versus the speed S of the car, in miles per hour. S = speed (mph) D = stopping distance (feet) 15 25 35 40 60 75 44 85 136 164 304 433 (a) Find a model of stopping distance as a power function of speed. (Round regression parameters to two decimal places.) D = 4.63 × s1.23 D = 3.42 × s0.98 D = 0.89 × s1.42 D = 0.25 × s1.64 D = 1.24 × s0.85 (b) If speed is doubled, how is stopping distance affected? (Use the model found in part (a). Round your answer to two decimal places.) Stopping distance is multiplied by 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 12 16 19 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.) D = 5.32 × h1.12 D = 1.96 × h0.92 D = 0.73 × h2.45 D = 1.26 × h0.52 D = 3.52 × h0.82 (b) If height above sea level is increased by 40%, by what percentage is distance to the horizon increased? Round your answer to the nearest whole number. (Use the model found in part (a).)

The table below shows the average stopping distance D, in feet, for a car on dry pavement versus the speed S of the car, in miles per hour. S = speed (mph) D = stopping distance (feet) 15 25 35 40 60 75 44 85 136 164 304 433 (a) Find a model of stopping distance as a power function of speed. (Round regression parameters to two decimal places.) D = 4.63 × s1.23 D = 3.42 × s0.98 D = 0.89 × s1.42 D = 0.25 × s1.64 D = 1.24 × s0.85 (b) If speed is doubled, how is stopping distance affected? (Use the model found in part (a). Round your answer to two decimal places.) Stopping distance is multiplied by 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 12 16 19 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.) D = 5.32 × h1.12 D = 1.96 × h0.92 D = 0.73 × h2.45 D = 1.26 × h0.52 D = 3.52 × h0.82 (b) If height above sea level is increased by 40%, 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)

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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