SOLUTION: Hello awesome tutors, this is a variation problem. I could not find a category to match this problem and I hope that someone can help me work this out and solve. I don't understa

Algebra ->  College  -> Linear Algebra -> SOLUTION: Hello awesome tutors, this is a variation problem. I could not find a category to match this problem and I hope that someone can help me work this out and solve. I don't understa      Log On


   



Question 1137459: Hello awesome tutors, this is a variation problem. I could not find a category to match this problem and I hope that someone can help me work this out and solve. I don't understand what the book is telling me to do. Thank you in advance.
T varies jointly as r and B squared. When r=7 and B=6,
T=1008. Find T when r is 10 and B is 12.

Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
This is a Joint or Direct Variation problem. The problem description can be translated literally into an equation.

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T varies jointly as r and B squared. When r=7 and B=6,
T=1008.
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k, variation constant
T=kr%2AB%5E2

Values were given, allowing to find the value for k.
k=T%2F%28rB%5E2%29

-

k=1008%2F%287%2A6%5E2%29
k=144%2F%286%2A6%29
highlight_green%28k=4%29
-
highlight%28T=4rB%5E2%29
Use this to answer the very last question.