If z varies directly as x and inversely as y, and z = 8 when x = 12 and y = 3, the value of the constant of proportionality is what number?

phoreeldoefk

phoreeldoefk

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2022-08-29

If z varies directly as x and inversely as y, and z = 8 when x = 12 and y = 3, the value of the constant of proportionality is what number?

Answer & Explanation

Adrienne Sherman

Adrienne Sherman

Beginner2022-08-30Added 9 answers

when z varies directly proportional to x means a division
c = z x where c is a constant of proportionality
when z varies inversely proportional to x it means a product
zy=c
now with both
k = z y x
z=8, x=12 and y=3
k = 8.3 12
k=2

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