Proportional Relationships -- Tables, Equations, and Graphs

Flashcard
•
Mathematics
•
7th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is a proportional relationship?
Back
A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other quantity is constant.
2.
FLASHCARD QUESTION
Front
How can you identify a proportional relationship in a table?
Back
A table represents a proportional relationship if the ratios of the corresponding values are the same.
3.
FLASHCARD QUESTION
Front
What does it mean if a graph passes through the origin?
Back
If a graph passes through the origin (0,0), it indicates a proportional relationship.
4.
FLASHCARD QUESTION
Front
What is the equation of a proportional relationship?
Back
The equation of a proportional relationship can be expressed as y = kx, where k is the constant of proportionality.
5.
FLASHCARD QUESTION
Front
How do you find the constant of proportionality in a proportional relationship?
Back
The constant of proportionality (k) can be found by dividing the value of y by the value of x (k = y/x).
6.
FLASHCARD QUESTION
Front
If 2 pounds of apples cost $4, how much do 5 pounds cost?
Back
$10 (Using the constant of proportionality: k = 4/2 = 2; so, 5 pounds cost 5*2 = $10).
7.
FLASHCARD QUESTION
Front
What is the difference between proportional and non-proportional relationships?
Back
Proportional relationships have a constant ratio, while non-proportional relationships do not maintain a constant ratio.
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