anonymous
  • anonymous
If y varies inversely as x, find the constant of variation if y = 14 when x = 8. A. 112 B. 2 C. 7/4 D. 7
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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Mertsj
  • Mertsj
y=k/x
Mertsj
  • Mertsj
Plug in the given y and x values and find k which is the constant of variation.
anonymous
  • anonymous
I don't get it

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Mertsj
  • Mertsj
Did you see the equation I wrote?
anonymous
  • anonymous
yes I did so it would be 14=k/8
Mertsj
  • Mertsj
\[y=\frac{k}{x}\]
Mertsj
  • Mertsj
Now solve that for k by multiplying both sides by 8
Mertsj
  • Mertsj
\[14(8)=\frac{k}{8}(8)\]
anonymous
  • anonymous
112=k/64?
Mertsj
  • Mertsj
|dw:1327613443151:dw|
anonymous
  • anonymous
Ohh, I see! Thanks for taking the time to explain that!
Mertsj
  • Mertsj
That's why you multiply both sides by 8...so that the 8"s on the right will cancel.
anonymous
  • anonymous
I see, Thanks so much!
Mertsj
  • Mertsj
yw

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