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janell dale
variation and problem solving
Question | Answer |
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direct viration | In direct variation, as one number increases, so does the other. This is also called direct proportion: they're the same thing. y varies directly as x, or y is directly proportional to x, if there ia a non-zero constant k such that - y=kx |
inverse variation | In inverse variation, it's exactly the opposite: as one number increases, the other decreases. This is also called inverse proportion. y varies inversely as x, or y is inversely proportional to k - y=k/x |
joint variation | In joint variation the ratio of a variable y to the product of two or more variables is constant, then y varies as, or is jointly proportional to the other variable - y=kxz |
constant of variation | the number k is called the constant of variation or the constant of proportionality |
divide and conquer | The best way to approach word problems is to “divide and conquer”. Break the problem down into smaller bits and solve each bit at a time. |
understanding the problem | what are they asking? Look for clues in the problem to determine which form of variation |
translate/interpret | translate the word problem into equation(s) with variables |
solve | find the solution(s) to the word problems. |