Given that q is inversely proportional to p and q=24 when p=17, find the value of p when q=2.

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: Find the constant of variation We know that q = 24 when p = 17. We can substitute these values into the equation to find k. 24 = k/17 To solve for k, we multiply both sides by 17 to get k = 24 * 17 = 408.

Step 3: Find the value of p when q = 2 Now that we know k = 408, we can substitute q = 2 into the equation to find p. 2 = 408/p To solve for p, we multiply both sides by p and divide by 2 to get p = 408/2 = 204.

So, the value of p when q = 2 is 204.