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jdmbski

  • 3 years ago

Assume F is directly proportional to r, and F = 11 when r = 3. Find the equation that relates F to r. I'm awful at math please help me!

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  1. Mr.Math
    • 3 years ago
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    You'll like this; it's very nice! When we say that F is directly promotional to r, that means we can write relate them by an equation similar to this \(F=kr\). Our task here is to find what the value of k is.

  2. Mr.Math
    • 3 years ago
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    But we're already given that \(F=1\) when \(r=3\). So we can write: \(11=k\times 3 \) Now divide both sides by 3, you get \[\frac{11}{3}=k.\]

  3. Mr.Math
    • 3 years ago
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    Now substitute that for k in that equation, and you're done: \[F=\frac{11}{3} r\]

  4. jdmbski
    • 3 years ago
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    Ahh gotcha =) thanks

  5. Mr.Math
    • 3 years ago
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    Isn't it fun?

  6. jdmbski
    • 3 years ago
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    It is now that I understand it! Thank you!!! =)

  7. Mr.Math
    • 3 years ago
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    I'm glad to hear (*read) that.

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