Question

y varies inversely as three times x. When x = 6, y = 4. Find x when y = 8. Show all work.

Answer 1

y=k/3x

when x = 6, y = 4

4=k/3*6

solve for k

k=4*3*6=72

now when y = 8

Then 8=72/3x

divide by 3

8=24/x

x=24/8

x = 3