# Lesson Worksheet: Joint Variation Mathematics • 9th Grade

In this worksheet, we will practice writing an equation to describe joint variation and using proportions to find other sets of values to solve real-world problems.

Q1:

varies jointly as and . If when and , find when and .

Q2:

varies jointly as and the cube root of . If when and , find when and .

Q3:

varies jointly as and the square of . If when and , find when and .

Q4:

Given that varies jointly with and , such that , find when and .

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Q5:

A quantity varies directly with and inversely with . Given that is the constant of variation, find the equation that models .

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Q6:

True or False: If varies jointly with and , and when and , then the constant of variation equals 5.

• ATrue
• BFalse

Q7:

Given that and , which of the following relations is correct?

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Q8:

A variable varies jointly with variables and . Given that when and , write the equation that describes how depends on and .

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Q9:

True or False: Given that varies jointly with and such that , when and .

• ATrue
• BFalse

Q10:

When a body is moving onward, its kinetic energy varies jointly with mass and the square of velocity . If when and , find when and .