38. Power Needed to Propel a Boat The power P (measured in horsepower, hp) needed to propel a boat is directly propor- tional to the cube of the speed s. (a) Write an equation that expresses this variation. (b) Find the constant of proportionality for a boat that needs an 80-hp engine to propel the boat at 10 knots. (c) How much power is needed to drive this boat at 15 knots?

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section1.10: Modeling Variation
Problem 38E
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Power Needed to Propel a Boat The power P (measured in
horsepower, hp) needed to propel a boat is directly proportional to the cube of the speed s.
(a) Write an equation that expresses this variation.
(b) Find the constant of proportionality for a boat that needs
an 80-hp engine to propel the boat at 10 knots.
(c) How much power is needed to drive this boat at 15 knots?

38. Power Needed to Propel a Boat The power P (measured in
horsepower, hp) needed to propel a boat is directly propor-
tional to the cube of the speed s.
(a) Write an equation that expresses this variation.
(b) Find the constant of proportionality for a boat that needs
an 80-hp engine to propel the boat at 10 knots.
(c) How much power is needed to drive this boat at 15 knots?
Transcribed Image Text:38. Power Needed to Propel a Boat The power P (measured in horsepower, hp) needed to propel a boat is directly propor- tional to the cube of the speed s. (a) Write an equation that expresses this variation. (b) Find the constant of proportionality for a boat that needs an 80-hp engine to propel the boat at 10 knots. (c) How much power is needed to drive this boat at 15 knots?
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