suppose that p and q vary inversely and p=12 when 9=3. Find p when q=6

Answer 1

To determine the inverse variation equation, we use the formula:

p = k/q

where k is the constant of variation.

Given that p = 12 when q = 9, we can substitute these values into the equation to find k:

12 = k/9

Multiplying both sides by 9, we have:

108 = k

So the inverse variation equation is:

p = 108/q

To find p when q = 6, we substitute this value into the equation:

p = 108/6

Calculating this, we get:

p = 18

Therefore, when q = 6, p is equal to 18.