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Questions and Answers
What is Direct Variation?
What is Direct Variation?
- A relationship that cannot be expressed mathematically
- A relationship where the increase of one variable results in a decrease of the other
- A relationship where one variable is a constant multiple of the other (correct)
- A relationship where both variables are independent
What is Inverse Variation?
What is Inverse Variation?
- When both variables are zero
- When one variable changes, the other remains constant
- When one variable increases and the other decreases (correct)
- When both variables increase together
What is an equation or function that represents a straight line?
What is an equation or function that represents a straight line?
Linear
A non-linear function forms a straight line.
A non-linear function forms a straight line.
What is represented by the slope of a line?
What is represented by the slope of a line?
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Study Notes
Direct Variation
- Represents a relationship where one variable is a constant multiple of another.
- Changes in one variable result in proportional changes in the other variable.
Inverse Variation
- Defined as the opposite of direct variation.
- When one variable increases, the other decreases proportionally.
- The product of the two variables remains constant despite their individual changes.
Linear
- Describes an equation or function that produces a straight line on a graph.
- Formulated as ( y = mx + b ), where ( m ) indicates the slope and ( b ) is the y-intercept.
Non-linear
- Refers to equations or functions that do not create a straight line.
- Includes curves and other shapes, indicating varying rates of change.
Rate of Change
- Quantified by the slope of a line in a linear graph.
- Represents how one quantity changes in relation to another variable.
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