Question

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

Answers

  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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