Question

When g is 4, h is 1/2 and j is 1/3. If g varies jointly with h and j, what is the value of g when h is 2 and j is 3?

Answer 1

G
`\alpha`HJ
G=kHJ
where k is a constant of proportionality;
when G=4, H=1/2 and J=1/3
Finding value of k,
4=k*1/2*1/3
4=
`(1)/(6)`k
k=24
The equation then is;
G=24HJ
When H=2, J=3
G=24*3*2
G=144

Answer 2

The value of g is 144 when h is 2 and j is 3 .

Explanation:

As given

`When\ g\ is\ 4, h\ is\ (1)/(2)\ and\ j\ is\ (1)/(3) .`

If g varies jointly with h and j.

`g \propto hj`

g = khj

Where k is the constant of proportionality.

`When\ g\ is\ 4, h\ is\ (1)/(2)\ and\ j\ is\ (1)/(3) .`

Put value in the above

`4 = (k)/(2* 3)`

`4 = (k)/(6)`

k = 4 × 6

k = 24

As when h = 2 , j = 3 and k = 24 .

Put in the above

g = 2 × 3 × 24

g = 144

Therefore the value of g is 144 when h is 2 and j is 3 .