My Math Forum Rate Of Growth Of Two Numbers

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 May 9th, 2016, 02:22 PM #1 Senior Member   Joined: Oct 2013 From: New York, USA Posts: 619 Thanks: 83 Rate Of Growth Of Two Numbers Now, x = 1,426 and y = 8,959. The rate of growth of y relative to x = 862/277, meaning that y grows about 3.11 times as fast as x. I found a point-slope equation solver that said the equation is y = 1,724x - 2,449,465. Obviously, since y/x = about 6.28, which is > than about 3.11, the ratio y/x will decrease as x approaches positive infinity. I want to know the values of x and y when y = 5x and when y = 6x. I tried solving 1,724x - 2,449,465 = 5x, but when I used these answers with x = 1,426 and y = 8,959, it didn't satisfy what I wanted to know (I'm not saying the online calculator is wrong). The problem should be easy for me, but I'm struggling to express the information as equations. If you give me the equations I can solve them without help. Last edited by skipjack; May 9th, 2016 at 05:01 PM.
May 9th, 2016, 02:41 PM   #2
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Quote:
 Now, x = 1,426 and y = 8,959. The rate of growth of y relative to x = 862/277, meaning that y grows about 3.11 times as fast as x. I found a point-slope equation solver that said the equation is y = 1,724x - 2,449,465.
I get the equation $y-8959=\dfrac{862}{277}(x-1426)$

???

Last edited by skipjack; May 9th, 2016 at 05:00 PM.

May 10th, 2016, 05:11 AM   #3
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Quote:
 Originally Posted by skeeter I get the equation $y-8959=\dfrac{862}{277}(x-1426)$ ???
Thank you. That equation worked. I did the y = 5x part so far and x = about 2,395.

 May 10th, 2016, 11:41 AM #4 Senior Member   Joined: Oct 2013 From: New York, USA Posts: 619 Thanks: 83 When y = 6x, x = about 1,565.5 and y = about 9,393.

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