Question

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!

Answer 1

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.

Answer 2

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
\[\frac{11}{3}=k.\]

Answer 3

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

Answer 4

Ahh gotcha =) thanks

Answer 5

Isn't it fun?

Answer 6

It is now that I understand it! Thank you!!! =)

Answer 7

I'm glad to hear (*read) that.