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Ch2 Algebra 2

Variations

QuestionAnswer
Direct Variation Function y= kx^n k doesn't equal zero n>0
Inverse Variation Function y= k/x^n k doesn't equal zero n>0
Combined Variation when direct and inverse variations occur together y= kx/z
joint variation when one quantity varies directly as the product of two or more independent variables, but not inversely as any variable.
The rate of change from (20,25) (40, 100) r1= 100ft-25ft/ 40mph- 20mph = 70ft/ 20mph = 3.75 ft/mph
Fundamental Theorem of Variation a. if y varies directly as x^n and x is multiplied by c then y is multiplied by c^n b. if y varies inversely as x^n and x is multiplied by a nonzero constant c, then y is divided by c^n
Hyperbola graph of every function with an equation of the form y= k/x
Created by: victoriapugsley
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