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hugsandkisses

  • 3 years ago

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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  1. Mertsj
    • 3 years ago
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    y=k/x

  2. Mertsj
    • 3 years ago
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    Plug in the given y and x values and find k which is the constant of variation.

  3. hugsandkisses
    • 3 years ago
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    I don't get it

  4. Mertsj
    • 3 years ago
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    Did you see the equation I wrote?

  5. hugsandkisses
    • 3 years ago
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    yes I did so it would be 14=k/8

  6. Mertsj
    • 3 years ago
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    \[y=\frac{k}{x}\]

  7. Mertsj
    • 3 years ago
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    Now solve that for k by multiplying both sides by 8

  8. Mertsj
    • 3 years ago
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    \[14(8)=\frac{k}{8}(8)\]

  9. hugsandkisses
    • 3 years ago
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    112=k/64?

  10. Mertsj
    • 3 years ago
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    |dw:1327613443151:dw|

  11. hugsandkisses
    • 3 years ago
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    Ohh, I see! Thanks for taking the time to explain that!

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

  13. hugsandkisses
    • 3 years ago
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    I see, Thanks so much!

  14. Mertsj
    • 3 years ago
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    yw

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