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?
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