Question

Find an equation of variation in which y varies jointly as x and z and inversely as the product of w and p,

Answer 1

The equation of variation in which y varies jointly as x and z and inversely as the product of w and p is y=0.5(xz/wp).

Given that variable y varies jointly as x and z and inversely as the product of w and p,where y=7/28 where x=7,z=4,w=7 and p=8.

We are required to find the equation of variation.

To solve this problem we must apply the following procedure:

1) We have that y varies jointly as x and z and inversely as the product of w and p. Therefore we can write the following equation,where k is the constant of proportionality:

y=k(xz/wp)----------1

Now we have to solve for the constant of proportionality as done under:

k=ywp/xz-------------2

Using the values in equation 1.

k=(7/28)(7)(8)/(7)(4)

=0.5

Using all the values in the equation 2.

y=0.5(xz/wp)

Hence the equation of variance is y=0.5(xz/wp).

Question is incomplete.The following values should be included:

y=7/28 where x=7,z=4,w=7 and p=8.

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