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Suppose a is directly proportional to b, but inversely proportional to c. If a = 3 when b = 5 and c =9, then what is c when b=3 and a = 4?

 Aug 5, 2021
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a =    K * b/c      solve for the proportionality constant 'K' with the first numbers given

 

3 = K * 5/9

K =  27/5  

 

a = 27/5  b/c   now sub    in the second a and b

 

4 = 27/5  3/c

c = 27/5 * 3/4 = 4.05

 Aug 5, 2021

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