
4.3 Constant of Proportionality
Flashcard
•
Mathematics
•
8th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the constant of proportionality?
Back
The constant of proportionality is a constant ratio between two proportional quantities, often represented as k.
2.
FLASHCARD QUESTION
Front
How do you determine if a table represents a proportional relationship?
Back
A table represents a proportional relationship if the ratio of the values in one column to the corresponding values in another column is constant.
3.
FLASHCARD QUESTION
Front
What is the formula for finding the constant of proportionality?
Back
The formula for finding the constant of proportionality is k = y/x, where y is the dependent variable and x is the independent variable.
4.
FLASHCARD QUESTION
Front
If a table shows values (2, 6), (4, 12), and (6, 18), what is the constant of proportionality?
Back
The constant of proportionality is k = 3, since 6/2 = 12/4 = 18/6 = 3.
5.
FLASHCARD QUESTION
Front
What does a constant of proportionality of 0.20 indicate in a real-world context?
Back
A constant of proportionality of 0.20 indicates that for every unit increase in the independent variable, the dependent variable increases by 0.20 units.
6.
FLASHCARD QUESTION
Front
If the constant of proportionality is $9 per hour, what does this mean in a practical scenario?
Back
It means that for every hour worked, the payment or cost is $9.
7.
FLASHCARD QUESTION
Front
Can the constant of proportionality be a fraction? Provide an example.
Back
Yes, the constant of proportionality can be a fraction. For example, if k = 1/2, it means for every 2 units of x, y increases by 1 unit.
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