SOLUTION: If H is inversely proportional to J and H = 6 when J = 12, what is H when J = 24?

Question 1095512: If H is inversely proportional to J and H = 6 when J = 12, what is H when J = 24?
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

Inversely proportional means as one number increases the other decreases at the same rate. For most students, the easiest way to think about it is that the product of the two numbers is always the same.

So in your example, you are being asked to solve this equation:
24*x = 12*6

Instead of using the formal algebra to solve that equation, you can use logical analysis. You know H is 6 when J is 12; you need to find H when J is 24. But 24 is 12 times 2; since J was multiplied by 2, H needs to be divided by 2 if the product is to remain the same.

So a quick informal solution to the problem might go something like this:
"J was doubled, from 12 to 24, so H must be halved to keep the product the same; half of 6 is 3."
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