SOLUTION: the rate at which a certain balloon travels is inversely proportional to the amount of weight attached to it. if the balloon travels at 10 inches per second when there is a 2-gram

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Question 1139771: the rate at which a certain balloon travels is inversely proportional to the amount of weight attached to it. if the balloon travels at 10 inches per second when there is a 2-gram weight must be attached to it, approximately how much weight must be attached to the balloon for it to travel 18 inches per second?
Round to the nearest tenth

Found 3 solutions by josmiceli, ikleyn, Alan3354:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +k+ = constant of proportionality
+10+=+k%2A%28+1%2F2+%29+
+k+=+20+
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Let +x+ = attached weight
+18+=+k%2A%28+1%2Fx+%29+
+18+=+20%2A%28+1%2Fx+%29+
+18x+=+20+
+x+=+10%2F9+
+x+=+1.1+ g ( rounded to nearest tenth )

Answer by ikleyn(52771) About Me  (Show Source):
You can put this solution on YOUR website!
.
Obviously, the movement of a balloon considered in this post is verical up
(otherwise the attached weight does not play any role).


But then, this "law"
 
    the rate at which a certain balloon travels is inversely proportional to the amount of weight attached to it

is INCORRECT (or, at least, non-universal), since if the attached weight is over some critical value, the balloon will not move up at all.

It will move down after.


Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
the rate at which a certain balloon travels is inversely proportional to the amount of weight attached to it.
=============
Who told you that?
That's absurd