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

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anonymous
  • anonymous
Ahh gotcha =) thanks
Mr.Math
  • Mr.Math
Isn't it fun?
anonymous
  • anonymous
It is now that I understand it! Thank you!!! =)
Mr.Math
  • Mr.Math
I'm glad to hear (*read) that.

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