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I BET NO ONE KNOWS THIS y varies jointly as x and z. y=20 when x=2 and z=5 . Find y when x=3 and z=6

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chikafujiwara

Hello!

If y varies jointly with x and z, it'll mean that x and z are being multiplied by a factor "k", to equal y.

To give you a visual, this is what I mean.

[tex]y=kxz[/tex]

That means we'll want to find [tex]k[/tex] with the first point we're given: [tex](2,20,5)[/tex]

[tex]20=k(2)(5)[/tex]

[tex]20=10k[/tex]

[tex]k=2[/tex]

Which means our equation is:

[tex]y=2xz[/tex]

Now, let's plug in the [tex]x[/tex] and [tex]z[/tex] from the other point to find [tex]y[/tex].

[tex]y=2(3)(6)[/tex]

[tex]y=36[/tex]

Hope this helps!

Answer:

Hello!

If y varies jointly with x and z, it'll mean that x and z are being multiplied by a factor "k", to equal y.

To give you a visual, this is what I mean.

That means we'll want to find  with the first point we're given:

Which means our equation is:

Now, let's plug in the  and  from the other point to find .

Step-by-step explanation:

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