Proportional Relationships Equations (HW #12)
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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
What is the constant of proportionality?
Back
The constant of proportionality is the constant value (k) that relates two proportional quantities, often represented in the equation y = kx.
3.
FLASHCARD QUESTION
Front
How do you write an equation for a proportional relationship given a table of values?
Back
To write an equation for a proportional relationship from a table, identify the constant of proportionality (k) by dividing the y-values by the corresponding x-values, then express it in the form y = kx.
4.
FLASHCARD QUESTION
Front
What does the equation y = kx represent?
Back
The equation y = kx represents a direct variation where y varies directly with x, with k being the constant of proportionality.
5.
FLASHCARD QUESTION
Front
If the constant of proportionality is 5, what is the equation of the proportional relationship?
Back
The equation of the proportional relationship would be y = 5x.
6.
FLASHCARD QUESTION
Front
How can you determine the constant of proportionality from an equation?
Back
In an equation of the form y = kx, the constant of proportionality is the coefficient k.
7.
FLASHCARD QUESTION
Front
What is the significance of the slope in a graph of a proportional relationship?
Back
In a graph of a proportional relationship, the slope represents the constant of proportionality, indicating how much y changes for a unit change in x.
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