31–34 ■ Proportionality A statement describing the relationship between the variables x, y, and z is given. (a) Express thestatement as an equation of proportionality. (b) If x is tripled andy is doubled, by what factor does z change? (See Example 3.)31. z varies directly as the cube of x and inversely as the square of y.32. z is directly proportional to the square of x and inversely proportional to the fourth power of y.33. z is jointly proportional to the cube of x and the fifth power of y.34. z is inversely proportional to the square of x and the cube of y.
31–34 ■ Proportionality A statement describing the relationship between the variables x, y, and z is given. (a) Express thestatement as an equation of proportionality. (b) If x is tripled andy is doubled, by what factor does z change? (See Example 3.)31. z varies directly as the cube of x and inversely as the square of y.32. z is directly proportional to the square of x and inversely proportional to the fourth power of y.33. z is jointly proportional to the cube of x and the fifth power of y.34. z is inversely proportional to the square of x and the cube of y.
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section1.10: Modeling Variation
Problem 31E
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31–34 ■ Proportionality A statement describing the relationship between the variables x, y, and z is given. (a) Express the
statement as an equation of proportionality. (b) If x is tripled and
y is doubled, by what factor does z change? (See Example 3.)
31. z varies directly as the cube of x and inversely as the square of y.
32. z is directly proportional to the square of x and inversely proportional to the fourth power of y.
33. z is jointly proportional to the cube of x and the fifth power of y.
34. z is inversely proportional to the square of x and the cube of y.
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