SOLUTION: Write a function that models each variation: a. x=-1 when y=5, y varies inversely as x. b.x=3 and y=12 when z=2, z varies directly with y and inversely with x.

Question 956755: Write a function that models each variation:
a. x=-1 when y=5, y varies inversely as x.
b.x=3 and y=12 when z=2, z varies directly with y and inversely with x.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Write a function that models each variation:
a. x=-1 when y=5, y varies inversely as x.
y = k/x
5 = k/-1
k = -5
----
Equation:
y = -5/x
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b.x=3 and y=12 when z=2, z varies directly with y and inversely with x.
z = k*y/x
-----
2 = k*12/3
2 = 4k
k = 1/2
Equation:
y = (1/2)y/x
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Cheers,
Stan H.
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