IXL - Find the constant of variation (Algebra 2 practice)

The quantity

varies jointly with

and

When

–

and

–

What is the value of

the constant of variation?

Write your answer in the form

where

and

are constants or variable expressions.

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Learn with an example

question

The quantity

varies directly with

and inversely with

When

and

What is the value of

the constant of variation?

Write your answer in the form

where

and

are constants or variable expressions.

key idea

Here are the steps to find

the constant of variation.

Step 1: Write a general equation of variation.

Step 2: Substitute the given numbers and solve for

the constant of variation.

solution

Step 1: Write a general equation of variation.

Remember that "directly" refers to 1 variable in the numerator

(

)

and "inversely" refers to any variables in the denominator

(

Don't forget

the constant of variation.

varies directly with

and inversely with

Step 2: Substitute the given numbers and solve for

the constant of variation.

Substitute the given numbers

(

)

into the equation of variation and solve for

Plug in

and

(

)

Plug in

and

Multiply both sides by 2

So,

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Teacher tools

Work it out

Not feeling ready yet? These can help:

Y.1Write and solve direct variation equations

Y.2Write and solve inverse variation equations

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