A statement describing the relationship between the variables x, y, and z is given. (See Example 3.) z varies directly as the cube of x and inversely as the square of y. (a) Express the statement as an equation of proportionality. (Use k as the constant of proportionality.) (b) If x is doubled and y is tripled, by what factor does z change?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Polynomial Functions
Section: Chapter Questions
Problem 16T: In Exercises 15-17, find a mathematical model that represents the statement. (Determine the constant...
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A statement describing the relationship between the variables x, y, and z is given. (See Example 3.)
z varies directly as the cube of x and inversely as the square of y.
(a) Express the statement as an equation of proportionality. (Use k as the constant of proportionality.)
(b) If x is doubled and y is tripled, by what factor does z change?
Transcribed Image Text:A statement describing the relationship between the variables x, y, and z is given. (See Example 3.) z varies directly as the cube of x and inversely as the square of y. (a) Express the statement as an equation of proportionality. (Use k as the constant of proportionality.) (b) If x is doubled and y is tripled, by what factor does z change?
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