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anonymous

  • one year ago

If x varies inversely with y and x = 6 when y = 10, find y when x = 8. A.y=4/15 B.y=4.8 C.y=7.5 D.y=40/3

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  1. anonymous
    • one year ago
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    WILL GIVE MEDAL TO THE BEST ANSWER

  2. triciaal
    • one year ago
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    varies inversely means as one goes up the other goes down the product is constant

  3. mathstudent55
    • one year ago
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    Do the same we did before. Start here. \(x = \dfrac{k}{y} \)

  4. triciaal
    • one year ago
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    |dw:1436064412037:dw|

  5. anonymous
    • one year ago
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    ok

  6. ybarrap
    • one year ago
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    x varies inversely with y means x=k/y Where k is a constant You know that 6=k/10 Solve for k Then plug into the original equation and set x=8 and solve for y. Does this make sense?

  7. triciaal
    • one year ago
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    |dw:1436064517051:dw|

  8. anonymous
    • one year ago
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    is the set up this 6=k/10

  9. mathstudent55
    • one year ago
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    Now replace x and y with the given values. Then solve for k.

  10. anonymous
    • one year ago
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    so then wouldn't it be 60

  11. mathstudent55
    • one year ago
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    \(x = \dfrac{k}{y} \) \(6 = \dfrac{k}{10} \) You are correct.

  12. mathstudent55
    • one year ago
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    Now write the inverse relation using the value k = 60.

  13. anonymous
    • one year ago
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    8/60?

  14. mathstudent55
    • one year ago
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    \(x = \dfrac{60}{y} \) Now we use x = 8 and we find y: \(8 = \dfrac{60}{y} \) \(8y = 60\) \( y = 7.5\)

  15. anonymous
    • one year ago
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    ok i get it thanks.

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