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Linear Function (Solved)

  1. Nov 12, 2014 #1
    1. The problem statement, all variables and given/known data
    Suppose that z is a linear function of x and y with slope -1 in the x direction and slope 4 in the y direction.

    Part a)
    A change of −0.1 in x and 0.3 in y produces what change in z?
    z = ?

    Part b)
    If z=5 when x=7 and y=6, what is the value of z when x=7.1 and y=5.7?
    z = ?

    2. Relevant equations


    3. The attempt at a solution

    I really do not know where to start with this problem.
    Maybe setting a system of equations and solving for z?
    What does the "with slope -1 in the x direction and slope of 4 in the y direction" mean?


    Any help to start this problem with help me thank you.
     
  2. jcsd
  3. Nov 12, 2014 #2

    Mark44

    Staff: Mentor

    What does the phrase "z is a linear function of x and y" mean to you? That's an important part of this problem.
     
  4. Nov 12, 2014 #3
    Δz = Δx +Δy
     
  5. Nov 12, 2014 #4

    Mark44

    Staff: Mentor

    That's not what it means.
     
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