Question

Suppose , varies jointly with g and v, and j = 2 when g = 4 and v= 3.

Find j when g = 8 and v= 11.

Answer 1

j = 44/3

Explanation:

j varies jointly as g and v. This can be represented mathematically as:

`j \alpha gv\\j = kgv`.............(1)

Where k is a constant of proportionality

j = 2 when g = 4 and v = 3

Substitute these values into equation (1)

2 = k * 4 * 3

2 = 12 k

k = 1/6

when g = 8 and v = 11:

j = (1/6) * 8 * 11

j = 44/3