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

Question

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

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Ngọc Khuê 4 years 2021-07-18T12:32:51+00:00 1 Answers 58 views 0

Answers ( )

    0
    2021-07-18T12:34:03+00:00

    Answer:

    A

    Step-by-step explanation:

    Joint variation is given by:

    y=kxz

    Where k is some constant.

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

    360=k(4)(10)

    Solving for k:

    40k=360\Rightarrow k=9

    Therefore, our equation is:

    y=9xz

    Then when x = 5 and z = 12:

    y=9(5)(12)=540

    The answer is A.

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