Algebra graphs and functions 4 4 4-5
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The document discusses writing function rules from tables, direct variation, and writing equations to model direct variations. It provides examples of determining if equations represent direct variations and writing direct variation equations given points. Direct variations have the form y=kx, where k is the constant of variation and y and x vary directly with each other. The ratio y/x is constant for direct variations and can be used to identify and write equations for direct variations from tables.
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Variations
This document defines and provides examples of direct, inverse, and combined variations. It also defines related concepts.
- Direct variation means a variable y is directly proportional to another variable x and can be represented by the equation y=kx, where k is a constant. Inverse variation means y is inversely proportional to x and is represented by y=k/x.
- Combined and joint variations occur when a variable varies directly or inversely with two or more other variables simultaneously.
- Examples demonstrate how to set up and solve equations for different variation relationships to find unknown variable values based on given information.
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Editor's Notes
- Ask yourself “ What can I do to 1 to get 5, to 2 to get 6….?”
- C(x)= 1.19x C(x) = 1.19(12) = $14.28
- Think about the relationship of y and x . Remember the rule for what is a function.
- This is on you final
- Think of direction formula. Y=kx