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he variable Z is directly proportional to X, and inversely proportional to Y. When X is 5 and Y is 19, Z has the value 2.8947368421053. What is the value of Z when X = 12, and Y = 24

Respuesta :

mathmate

Given Z is directly proportional to X and inversely proportional to Y.

This means that

Z=kX/Y where k is a yet-unknown constant.


We are also given that, when X=5, y=19, Z=2.8947368421053, this means

2.8947368421053=k(5/19)

or

k=2.8947368421053*19/5

=11.0000000000001

=>

Z=11.000000000000*X/Y



If X=12, Y=24, then

Z=11.000000000000*X/Y

=11.000000000000*12/24

=5.500000000000


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