1. Suppose it is known that a quantity z varies directly with a second quantity x and inversely with the product of two quantities y and v. a. Find the equation that defines the variation. b. If z=5 when x=30, y=12, v=10, find the constant of proportionality, and find the value of x when v=10, y=2, z=12.

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter8: Functions
Section8.7: Direct And Inverse Variation
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1. Suppose it is known that a quantity z varies directly with a second quantity x and inversely with the product of two
quantities y and v.
a.
Find the equation that defines the variation.
b.
If z=5 when x=30, y=12, v=10, find the constant of proportionality, and find the value of x when v=10, y=2,
z=12.
Transcribed Image Text:1. Suppose it is known that a quantity z varies directly with a second quantity x and inversely with the product of two quantities y and v. a. Find the equation that defines the variation. b. If z=5 when x=30, y=12, v=10, find the constant of proportionality, and find the value of x when v=10, y=2, z=12.
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