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?

Guest Aug 5, 2021

#1**+1 **

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

ElectricPavlov Aug 5, 2021