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Suppose that $\alpha$ is inversely proportional to $\beta$. If $\alpha = -3$ when $\beta = -6$, find $\alpha$ when $\beta = 8$. Express your answer as a fraction.

 Feb 19, 2021
 #1
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a = k / b

-3 = k / -6

k = proportionality constant = 18

 

a = 18/b

a = 18/8 = 2 1/4     or   9/4

 Feb 19, 2021

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