Question

If pp and q vary inversely and p is 7 when q is 10, determine q when p is equal to 14.

Answer 1

Let's denote the constant of variation between p and q as k.

Since pp and q vary inversely, we have the equation:
p * q = k

We are given that p is 7 when q is 10, so we can write:
7 * 10 = k
70 = k

Now, we can use this value of k to find q when p is 14:
14 * q = 70
q = 70 / 14
q = 5

Therefore, when p is equal to 14, q is equal to 5.