Question

When x is 2, y is 4, p is 0.5, and m 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 1

The equation models the situation.

`(xy)/(mp) = 8`

Explanation:

As given

If x varies directly with the product of p and m and inversely with y.

Thus

`x\propto (mp)/(y)`

`x=k (mp)/(y)`

Where k is the constant of proportionality .

Simplify the above

`(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

`(2* 4)/(0.5* 2) = k`

`(8)/(1.0) = k`

k = 8

Therefore

`(xy)/(mp) = 8`

Answer 2

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