Question

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

Answer 1

Answer:

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

Second option is correct.

Step-by-step explanation:

We have been given that p varies jointly with r and s.

Thus, we can write it mathematically as

$p=krs$

Here, k is the constant of variation.

Now, we have to find the value of k.

Divide the above equation by rs

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

Hence, the value of k is $k=\frac{p}{rs}$

Second option is correct.

Answer 2

The correct answer is p/rs.

In order to find this first state the direct variation with the constant k included.

p = krs

Now to find the value of k, we simply divide away the r and s

p/rs = k