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HURRY PLEASE! Solving Joint Variations
Suppose that z varies jointly with x and y, and y = 3 when x = 2 and z = 30. What is z when x = 9 and y = 4? Use the step-by-step process you learned to solve this problem.

Set up the correct type of variation equation.

z = kxy
Step 2: Determine the constant of variation.
k =

Respuesta :

Answer:

Edge

Step-by-step explanation:

step 1:     kxy

step 2:     5

step 3:     180

The value of z will be 180 when x=9 and y=4.

What is joint variation?

When a variable is dependent on the product or quotient of two or more variables, this is called joint variation.

For example,[tex]y=kxz[/tex].

Here, y varies directly with both x and z.

According to the question

we have,

y=3

when x=2 and z=30.

here, z varies jointly as x and y.

therefore,

[tex]z=kxy[/tex]

find constant of variation (k) given y=3, x=2 and z=30

[tex]30=k[/tex]×[tex]2[/tex]×[tex]3[/tex]

[tex]k=5[/tex]

re-write the equation with computed k:

[tex]z=5xy[/tex]

find z given x=9 and y=4

[tex]z=5[/tex]×[tex]9[/tex]×4

[tex]z=180[/tex]

Hence, z=180 when x=9 and y=4.

Learn more about the joint variation here:

https://brainly.com/question/16455054

#Tag #SPJ2

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