SOLUTION: w is directly proportional to z. If w = -6 when z =2,find w when z =-3

Algebra ->  Algebra  -> Proportions  -> Lessons  -> Proportions -> SOLUTION: w is directly proportional to z. If w = -6 when z =2,find w when z =-3      Log On

Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   

Question 135634: w is directly proportional to z. If w = -6 when z =2,find w when z =-3
Answer by solver91311(12118) About Me  (Show Source):
You can put this solution on YOUR website!
Two quantities y and x are said to be in direct proportion if y is given by a constant multiple of x, i.e. y=cx where c is a constant.

So, for your problem w=cz.

You are given that w=-6 when z=2, so -6=2c, or c=%28-6%29%2F2=-3

Now you can write: w=-3z

w for z=-3 is now a simple matter of substitution and arithmetic.