hugsandkisses
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



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Mertsj
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y=k/x

Mertsj
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Plug in the given y and x values and find k which is the constant of variation.

hugsandkisses
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I don't get it

Mertsj
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Did you see the equation I wrote?

hugsandkisses
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yes I did so it would be 14=k/8

Mertsj
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\[y=\frac{k}{x}\]

Mertsj
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Now solve that for k by multiplying both sides by 8

Mertsj
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\[14(8)=\frac{k}{8}(8)\]

hugsandkisses
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112=k/64?

Mertsj
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dw:1327613443151:dw

hugsandkisses
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Ohh, I see! Thanks for taking the time to explain that!

Mertsj
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That's why you multiply both sides by 8...so that the 8"s on the right will cancel.

hugsandkisses
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I see, Thanks so much!

Mertsj
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yw