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Section 2.5

# Section 2.5 - Section 2.5 Variation Variation describes how...

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Section 2.5 Variation Variation describes how one quantity varies (changes) in a proportional relationship with another quantity. Quantities my vary directly, inversely, jointly or with combined variation. k = the constant of variation or proportionality. (n may equal 1, x = x 1 .) In most variation questions, x and y are known for one case. Find k, then write a formula to use for all cases. Direct Variation – both quantities or up or both quantities go down. For example: As the number of miles driven increases, the more fuel is used. Another example: As the speed of a car increases, stopping distance required increases. Direct Variation Formula If y varies directly with x n , then y = kx n . Suppose y varies directly as the cube of x. If y = 4 when x = 2, what is the value of y when x = 4? You may also use a proportion to solve direct variation questions. Indirect or Inverse Variation inverse (or indirect) variation - as one quantity increases, the other decreases For example: As distance between objects increases the force of gravity between decreases.

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Section 2.5 - Section 2.5 Variation Variation describes how...

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