Answer:
[tex]j=12[/tex]
Step-by-step explanation:
we know that
In a join variation, If j varies jointly with respect to g and v, the equation will be of the form [tex]j = kgv[/tex]
where k is a constant
step 1
Find the value of k
we have
j=2,g=4,v=3
substitute and solve for k
[tex]2 = k(4)(3)[/tex]
[tex]2 = 12k[/tex]
[tex]k=\frac{1}{6}[/tex]
The equation is equal to
[tex]j=\frac{1}{6}gv[/tex]
step 2
Find the value of j when g=8,v=9
substitute the values in the equation and solve for j
[tex]j=\frac{1}{6}(8)(9)[/tex]
[tex]j=12[/tex]