anonymous
  • anonymous
Suppose y varies directly with x, and y=20 when x= -5. Find x when y=24.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
Can you help me? I'm stuck
whpalmer4
  • whpalmer4
\[y = kx\] is the form for direct variation of \(y\) with \(x\) we know a pair of values for \(x,y\), so use that to find the value of \(k\)
anonymous
  • anonymous
Alright. So it would be 20=k*-5?

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whpalmer4
  • whpalmer4
yes!
anonymous
  • anonymous
Okay. So what do I do now? I find K?
whpalmer4
  • whpalmer4
yes, what value of \(k\) will make that work? once you know \(k\), you plug your new value of \(y\) or \(x\) into the equation and find the missing value
anonymous
  • anonymous
So K=-4. Now what?
freckles
  • freckles
y=-4x is the equation you have remember your question ask you to find x when y is 24.
freckles
  • freckles
so solve for x when y is 24...
whpalmer4
  • whpalmer4
exactly. \[y=-4x\]\[24=-4x\]\[x=\]
anonymous
  • anonymous
I'm not understanding this part.
anonymous
  • anonymous
Does x=-6?
whpalmer4
  • whpalmer4
it does!
anonymous
  • anonymous
That's it?
whpalmer4
  • whpalmer4
seems almost too easy, doesn't it? :-)
anonymous
  • anonymous
Yes. Thank you! :D
whpalmer4
  • whpalmer4
You knew that the two were related by direct variation, so that established the \(y = kx\) formula. You knew a pair of values, so that established the value of \(k\). Now you can find the corresponding value to any value of \(x\) or \(y\).
anonymous
  • anonymous
Okay. Thank you. This has helped a lot.
whpalmer4
  • whpalmer4
Glad to hear it!

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