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

2 Answers

5 votes

Answer:

p/rs

Explanation:

User Manu Evans
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5 votes

Answer:

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)


User Pooja Kamath
by
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