Question:
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
Answer:
The equation models the situation is

Solution:
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
