Question

If a varies jointly as b and c,

Answer 1

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.

$a\propto bc$

$a=kbc$              ...(i)

Where, k is the constant of proportionality.

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

$6=k(2)(3)$

$6=6k$

$\dfrac{6}{6}=k$

$1=k$

The value of k is 1.

Putting k=1 in (i), we get

$w=1xy$

$w=xy$

Therefore, the variation constant is 1 and the equation of variation is $w=xy$.