Answer:
The equation models the situation.
\(\frac{xy}{mp} = 8\)
Step-by-step explanation:
As given
If x varies directly with the product of p and m and inversely with y.
Thus
\(x\propto \frac{mp}{y}\)
\(x=k \frac{mp}{y}\)
Where k is the constant of proportionality .
Simplify the above
\(\frac{xy}{mp} = k\)
As given
When x is 2, y is 4, p is 0.5, and m is 2.
Putting the value in the above
\(\frac{2\times 4}{0.5\times 2} = k\)
\(\frac{8}{1.0} = k\)
k = 8
Therefore
\(\frac{xy}{mp} = 8\)
