SOLUTION: write an equation, then find the requested value of the variable. if B varies inversely as t+2 and B=12 when t=1, find B when t=4

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Question 166855: write an equation, then find the requested value of the variable.
if B varies inversely as t+2 and B=12 when t=1, find B when t=4
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!

As it looks, "+2" is part of "t" as it inversely proportional to "B". Then it follows this eqn: B%5B1%5D%28t%5B1%5D%2B2%29=B%5B2%5D%28t%5B2%5D%2B2%29
where --- B%5B1%5D=12,t%5B1%5D=1,B%5B2%5D=unknown,t%5B2%5D=4
Continuing our eqn,
12%2A%281%2B2%29=B%5B2%5D%284%2B2%29
12%2A3=6B%5B2%5D
36=6B%5B2%5D ------> cross%2836%296%2Fcross%286%29=cross%286%29B%5B2%5D%2Fcross%286%29
highlight%28B%5B2%5D=6%29, Answer
*That is true, when t%5B1%5D=1 goes up t%5B2%5D=4, then B%5B1%5D=12 goes down B%5B2%5D=6 ---> inversely proportional.
Thank you,
Jojo