kyupta
Answered

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If a varies jointly as b and c,
and a=6 when b=2 and a=3.
Find the variation constant and
the equation of variation.​

Sagot :

Given:

a varies jointly as b and c.

a=6 when b=2 and a=3.

To find:

The variation constant and the equation of variation.

Solution:

a varies jointly as b and c.

[tex]a\propto bc[/tex]

[tex]a=kbc[/tex]              ...(i)

Where, k is the constant of proportionality.

a=6 when b=2 and a=3.

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

[tex]6=6k[/tex]

[tex]\dfrac{6}{6}=k[/tex]

[tex]1=k[/tex]

The value of k is 1.

Putting k=1 in (i), we get

[tex]w=1xy[/tex]

[tex]w=xy[/tex]

Therefore, the variation constant is 1 and the equation of variation is [tex]w=xy[/tex].

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