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3 years ago

PLEASE HELP OMG IM ON MY FINAL!!! If z varies inversely as w, and z=4 when w=9, find z when w=12

Mathematics

1 answer:

Drupady [299]3 years ago

4 0

z=3. If z varies inversely as w, and z=4 when w=9, then when w=12 the value of z is 3.

The key to solve this problem is using reverse proportionality, in which two magnitudes a and b are inversely proportional when there is a constant k such that

a⋅b=k, where constant k is called the proportionality constant.

Then if z varies inversely as w, and z=4 when w=9

z.w=k -------> 4.9=k -------> k=36

So, let's find z when w = 12. With k = 36

z.w=K, clear z from the equation

z=k/w -------> z=36/12 -----> z=3

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(See image)

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3 years ago