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Suppose that a is inversely proportional to b. If a=-3 when , b=16 find a when b=8. Express your answer as a fraction.

 Mar 31, 2020
 #1
avatar+1948 
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Inverse proportion: a=k/b


With the first equation, we get -3=k/16. So, k=-48

 

So, a=-48/8

a=-6

 Mar 31, 2020
 #2
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Inversely proportional means   a = k/b     when a = -3   b = 16     then  k (the proprtionality konstant) = -48

 

so    a =- 48/b   

 

Now put in '8' for b   to compute 'a'

 Mar 31, 2020
edited by ElectricPavlov  Mar 31, 2020

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