Answer :
The correct answer for the question that is being presented above is this one: "xy / pm = 8." The equation that models the situation is this xy / pm = 8
If x varies directly with the product of p and m and inversely with y:
x = pm/y
2 = 0.5*2 / 4
8 = 1
Then,
xy / pm = 8
If x varies directly with the product of p and m and inversely with y:
x = pm/y
2 = 0.5*2 / 4
8 = 1
Then,
xy / pm = 8
Answer:
The equation models the situation.
[tex]\frac{xy}{mp} = 8[/tex]
Step-by-step explanation:
As given
If x varies directly with the product of p and m and inversely with y.
Thus
[tex]x\propto \frac{mp}{y}[/tex]
[tex]x=k \frac{mp}{y}[/tex]
Where k is the constant of proportionality .
Simplify the above
[tex]\frac{xy}{mp} = k[/tex]
As given
When x is 2, y is 4, p is 0.5, and m is 2.
Putting the value in the above
[tex]\frac{2\times 4}{0.5\times 2} = k[/tex]
[tex]\frac{8}{1.0} = k[/tex]
k = 8
Therefore
[tex]\frac{xy}{mp} = 8[/tex]