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<h3><u>Question:</u></h3>
When y is 4, p is 0.5, and m is 2, x is 2. If x varies directly with the product of p and m and inversely with y, which equation models the situation?
xpmy=8
xy/pm=8
xpm/y=0.5
x/pmy=0.5
<h3><u>Answer:</u></h3>The equation models the situation is
Given that
x is 2, y is 4, p is 0.5, and m is 2
x varies directly with the product of p and m
x varies inversely with y
x varies directly with the product of p and m
---- eqn 1
As x varies inversely with y,
----- eqn 2
From (1) and 2, we can say that
where k is constant of proportionality
---- eqn 3
On substituting given values of x = 2, y = 4, p = 0.5 and m= 2 in eqn (3) we get
Hence correct option is second that is