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?
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=k1/21/3
4=\(\frac{1}{6}\)k
k=24
The equation then is;
G=24HJ
When H=2, J=3
G=2432
G=144
Answer:
The value of g is 144 when h is 2 and j is 3 .
Step-by-step explanation:
As given
\(When\ g\ is\ 4, h\ is\ \frac{1}{2}\ and\ j\ is\ \frac{1}{3} .\)
If g varies jointly with h and j.
\(g \propto hj\)
g = khj
Where k is the constant of proportionality.
\(When\ g\ is\ 4, h\ is\ \frac{1}{2}\ and\ j\ is\ \frac{1}{3} .\)
Put value in the above
\(4 = \frac{k}{2\times 3}\)
\(4 = \frac{k}{6}\)
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 .