SOLUTION: In the proportion 5/h-k/14, what happens to the value of h as the value of k increases....please explain....Thanks

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Question 349019: In the proportion 5/h-k/14, what happens to the value of h as the value of k increases....please explain....Thanks
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
I assume you mean 5%2Fh=k%2F14


5%2Fh=k%2F14 Start with the given equation.


5%2A14=kh Cross multiply.


70=kh Multiply


kh=70 Flip the equation.


Now if we increase 'k', then will kh=70 if we leave 'h' alone (ie don't change 'h')? The answer is "no". So in order for the equation to remain true, the value of 'h' must decrease while 'k' increases


Eg: Let k=10 and h=7. So kh=10%2A7=70. Now if k=14 (k just increased by 4), then h=70%2F14=5 which means that 'h' decreased by 2.


So in summary, as 'k' increases, 'h' decreases.


Note: This works the other way as well. If 'h' were to increase, then 'k' will decrease to keep the equation true.


If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website

Jim