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The value of y varies jointly with the values of x and z When x = 4 and z = 10, the value of y is 360.
What is the value of y when x 5 and z = 12?
A. 540
B. 9
C. 153
D. 450

Respuesta :

xKelvin

Answer:

A

Step-by-step explanation:

Joint variation is given by:

[tex]y=kxz[/tex]

Where k is some constant.

We are given that y = 360 when x = 4 and z = 10. Therefore:

[tex]360=k(4)(10)[/tex]

Solving for k:

[tex]40k=360\Rightarrow k=9[/tex]

Therefore, our equation is:

[tex]y=9xz[/tex]

Then when x = 5 and z = 12:

[tex]y=9(5)(12)=540[/tex]

The answer is A.

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