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Suppose a is directly proportional to b, but inversely proportional to c. If a = 16  when b = 5 and c = 9, then what is a  when b = 3 and c = 8?

 Feb 21, 2021
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a = kb/c

16 = k 5 / 9 

          k = proportionality constant = 144/5

 

a = (144/5) * b/c

a =   ( 144/5 ) * 3/8

a =  432 /40

a = 54/5  = 10.8

 Feb 21, 2021

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