anonymous
  • anonymous
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
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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mathstudent55
  • mathstudent55
The general equation for inverse variation is: If y varies inversely with x, then \(y = \dfrac{k}{x} \)
mathstudent55
  • mathstudent55
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?
anonymous
  • anonymous
12=k/6

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anonymous
  • anonymous
so the answer is b
mathstudent55
  • mathstudent55
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.
mathstudent55
  • mathstudent55
\(k = 72\) \(V = \dfrac{72}{T}\) You are correct.
anonymous
  • anonymous
thank you very much.
mathstudent55
  • mathstudent55
You're welcome.
anonymous
  • anonymous
and can you help me with some others that i'm going to post?

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