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anonymous

  • one year ago

V varies inversely with T and V = 12 when T = 6. Which equation shows this relationship? A. V = 72T B. v=72/t C. V = 2T D. v=2/t

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  1. mathstudent55
    • one year ago
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    The general equation for inverse variation is: If y varies inversely with x, then \(y = \dfrac{k}{x} \)

  2. mathstudent55
    • one year ago
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    In your case, V varies inversely with T, so use V instead of y and T instead of x in the equation above. Keep k as it is. What do you get?

  3. anonymous
    • one year ago
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    12=k/6

  4. anonymous
    • one year ago
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    so the answer is b

  5. mathstudent55
    • one year ago
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    You are one step ahead of me. All I meant was for you to write \(V = \dfrac{k}{T}\), but you are already at the next step which is to replace V and T with the given values so you can calculate k. \(12 = \dfrac{k}{6} \) Now you need to solve for k.

  6. mathstudent55
    • one year ago
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    \(k = 72\) \(V = \dfrac{72}{T}\) You are correct.

  7. anonymous
    • one year ago
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    thank you very much.

  8. mathstudent55
    • one year ago
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    You're welcome.

  9. anonymous
    • one year ago
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    and can you help me with some others that i'm going to post?

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