If q is inversely proportional to p and q=40 when p=10, find an equation connecting p and q.

Step 1: Understand the problem The problem states that q is inversely proportional to p. This means that as p increases, q decreases and vice versa. The relationship can be expressed as q = k/p, where k is the constant of variation.

Step 2: Use the given values to find the constant of variation We know that q = 40 when p = 10. We can substitute these values into the equation to find k. 40 = k/10 Solving for k gives k = 40 * 10 = 400.

Step 3: Write the equation Now that we know the constant of variation, we can write the equation that connects p and q. The equation is q = 400/p.