Question

If p is inversely proportional to the square of q, and p is 18 when q is 4 , determine p when q is equal to 6 .

Answer 1

To solve the problem, we can use the equation p = k/q^2. By substituting the given values and solving for k, we can determine the value of p when q is 6.

Step-by-step explanation:

To solve this problem, we can use the equation for inverse variation, which is p = k/q^2. We know that when p is 18, q is 4, so we can substitute these values into the equation to find the value of k:

18 = k/4^2

18 = k/16

Next, we can solve for k by multiplying both sides of the equation by 16:

18 * 16 = k

k = 288

Now that we know the value of k, we can use it to find p when q is 6:

p = 288/6^2

p = 288/36

p = 8