q.3:If x, y varies inversely and if y=4, when x=72, find the following:
a. the constant of variation
b. then value of y when X=97
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Answer:
a) the constant of variation k=288
b) y=2.97
Step-by-step explanation:
x, y varies inversely
let k is constant of variation)
Then x = k/y-----------(1)
if y=4 then x=72
so 72=k/4
k=72*4=288
hence
a) the constant of variation k=288
=========================
b) Given x=97
then y=k/x from(1)
y=288/97=2.97
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