Question

If p and q vary inversely and p is 5 when q is 4, determine q when pis
equal to 2.

Answer 1

When p is 2, q is 10.

Explanation:

If p and q vary inversely, then their product remains constant. We can set up a proportion to solve the problem:

p * q = k, where k is the constant of variation.

When p is 5 and q is 4, we have:

5 * 4 = k

k = 20

So the equation that relates p and q is:

p * q = 20

To find q when p is 2, we can plug in p = 2 and solve for q:

2 * q = 20

q = 20 / 2

q = 10

Therefore, when p is 2, q is 10.