Variation can be direct, inverse or joint.
The value of B when a = 48 and c = 4 is 8
The joint variation is represented as:
[tex]A \ \alpha\ BC[/tex]
Express the variation as equation
[tex]A = kBC[/tex]
Make k the subject of the formula
[tex]k= \frac{A}{BC}[/tex]
If a = 24 when b = 8 and c = 2, we have:
[tex]k = \frac{24}{8 \times 2}[/tex]
[tex]k = \frac{24}{16}[/tex]
[tex]k = 1.5[/tex]
So, [tex]A = kBC[/tex] becomes
[tex]A = 1.5BC[/tex]
Make B the subject
[tex]B = \frac{A}{1.5C}[/tex]
When a = 48 and c = 4, we have:
[tex]B = \frac{48}{1.5 \times 4}[/tex]
[tex]B = \frac{48}{6}[/tex]
Divide
[tex]B = 8[/tex]
Hence, the value of B is 8
Read more about variation at:
https://brainly.com/question/11544031
