Proportional vs. Nonproportional

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•
Mathematics
•
8th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is a proportional relationship?
Back
A proportional relationship is one in which two quantities maintain a constant ratio, meaning that as one quantity increases or decreases, the other does so in a consistent manner. This relationship can be represented by a straight line that passes through the origin (0,0).
Tags
CCSS.7.RP.A.2D
2.
FLASHCARD QUESTION
Front
What is a non-proportional relationship?
Back
A non-proportional relationship is one in which the ratio between two quantities is not constant. This means that as one quantity changes, the other does not change in a consistent manner, and the graph of this relationship does not pass through the origin.
Tags
CCSS.7.RP.A.2D
3.
FLASHCARD QUESTION
Front
How can you determine if a graph represents a proportional relationship?
Back
A graph represents a proportional relationship if it is a straight line that passes through the origin (0,0). If the line does not pass through the origin, it is non-proportional.
Tags
CCSS.7.RP.A.2D
4.
FLASHCARD QUESTION
Front
What does it mean if a graph does not pass through the origin?
Back
If a graph does not pass through the origin, it indicates that the relationship between the two variables is non-proportional, meaning there is a constant added value or intercept.
Tags
CCSS.7.RP.A.2D
5.
FLASHCARD QUESTION
Front
What is the significance of the slope in a proportional relationship?
Back
In a proportional relationship, the slope represents the constant ratio between the two quantities. The slope is the same at all points on the line.
Tags
CCSS.8.EE.B.5
6.
FLASHCARD QUESTION
Front
What is the equation of a proportional relationship?
Back
The equation of a proportional relationship can be expressed in the form y = kx, where k is the constant of proportionality.
Tags
CCSS.7.RP.A.2C
7.
FLASHCARD QUESTION
Front
What is the equation of a non-proportional relationship?
Back
The equation of a non-proportional relationship can be expressed in the form y = mx + b, where b is not equal to zero, indicating a y-intercept.
Tags
CCSS.8.EE.B.5
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