Question

If p varies inversely with q and p=2 when q=1 , find the equation that relates p and q.

Answer 1

Answer: If p varies inversely with q, it means that their product is a constant value, which we can represent as k. That is:

p*q = k

We can solve for k using the given values:

p = 2 when q = 1

2 * 1 = k

k = 2

Now we can substitute k into the equation to get the general equation that relates p and q:

p*q = 2

or

p = 2/q

Therefore, the equation that relates p and q is p = 2/q, where p and q are variables that vary inversely and 2 is the constant of proportionality.

Explanation: