Question

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

Answer 1

Answer:

The constant of variation(k) is, $\frac{p}{rs}$

Step-by-step 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;

$k = \frac{p}{rs}$

Therefore, the constant of variation(k) is, $\frac{p}{rs}$

Answer 2

Answer:

p/rs

Step-by-step explanation: