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13. If z varies directly as x and inversely as y, and z=9 when x=6 and y=2, find the
constant of variation.
a. 1
b. 2
c. 3
d. 4​

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Problem:

If z varies directly as x and inversely as y, and z=9 when x=6 and y=2, find the

constant of variation.

a. 1

b. 2

c. 3

d. 4​

Solution:

z = kx/y

9 = k(6)/2

9(2) = k(6)

18/6 = k

k = 3 → constant of variation

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