Y
varies inversely as
x
. if
x
= 8 then
y
= 4. find
y
when
x
= 6.

y
=

Step-by-step explanation:

y = 1/12 when x = 6

If y varies inversely as x, then the governing equation is y = k/x, where k is the constant of proportionality.

If x = 8 then y = 4.  From this info we can determine the value of k:

4 = k8.  Then k = 4/8 = 1/2.

                                                                                                     1

Then the specific inverse variation rule is y = (1/2)/x, or y =

                                                                                                   2x

                                                                                    1

Find y when x = 6.  Just substitute 6 for x:   y = = 1/12

                                                                                  2(6)

the answer is 14ft

step-by-step explanation: