Question

A quantity p varies jointly with r and s. which expression represents the constant of variation, k?

Answer 1

p/rs

Explanation:

Answer 2

The constant of variation(k) is,
`(p)/(rs)`

Explanation:

Joint Variation states that a situation where one variable depends on two (or more) other variables, and varies directly as each of them when the others one are held constant.

i,e z varies jointly as x and y , then the equation will be of the form:

z = kxy where k is constant of variation.

Given the statement: A quantity p varies jointly with r and s.

By definition of joint variation, we have;

`p \propto rs`

then;

`p= krs` where k is the constant of variation

divide both sides by rs, to solve for k;

`k = (p)/(rs)`

Therefore, the constant of variation(k) is,
`(p)/(rs)`