kyupta
Answered

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if w varies jointly as x and y,
and w=10 when x=2 and y=1.
Solve for w when x=4 and y=2​

Sagot :

Given:

w varies jointly as x and y.

w=10 when x=2 and y=1.

To find:

The value of w when x=4 and y=2​.

Solution:

w varies jointly as x and y.

[tex]w\propto xy[/tex]

[tex]w=kxy[/tex]              ...(i)

Where, k is the constant of proportionality.

w=10 when x=2 and y=1.

[tex]10=k(2)(1)[/tex]

[tex]10=2k[/tex]

[tex]\dfrac{10}{2}=k[/tex]

[tex]5=k[/tex]

The value of k is 5.

Putting k=5 in (i), we get

[tex]w=5xy[/tex]

To find the value of w when x=4 and y=2​. Put x=4 and y=2.

[tex]w=5(4)(2)[/tex]

[tex]w=40[/tex]

Therefore, the value of w is 40 when x=4 and y=2​.

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