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Mathematics 20 Online
OpenStudy (anonymous):

what is the formula to solve for combined-variation??

OpenStudy (psymon):

It's not that its a formula as much as it is a combination of direct and inverse. So usually the formula would be something like y = (kx/z)

OpenStudy (anonymous):

Help! Write the appropriate combined-variation equation, and find z for the given values of x, y, and w. z=10 when x=5, y=-2 and w=3; x=8, y=6, and w=-12.

OpenStudy (psymon):

Even throwing w at us, geez. Well, if there's a w in there then it'd be y = (kxz/w)

OpenStudy (psymon):

Its still the same thing as before, though, plugging in numbers and solving for k.

OpenStudy (anonymous):

so, it would be y=50k/3?

OpenStudy (psymon):

It gives you a y for the first part, too.

OpenStudy (anonymous):

Here are the steps required for Solving Combined Variation Problems: Step 1: Write the correct equation. Combined variation problems are solved using a combination of direct variation (y = kx), inverse variation , and joint variation (y = kxz) equations. When dealing with word problems, you should consider using variables other than x, y, and z, you should use variables that are relevant to the problem being solved. Also read the problem carefully to determine if there are any other changes in the combined variation equation, such as squares, cubes, or square roots. Step 2: Use the information given in the problem to find the value of k, called the constant of variation or the constant of proportionality. Step 3: Rewrite the equation from step 1 substituting in the value of k found in step 2. Step 4: Use the equation found in step 3 and the remaining information given in the problem to answer the question asked. When solving word problems, remember to include units in your final answer.

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