Math Problem Statement
Is the table proportional or non-proportional?
Solution
To determine if the table is proportional or non-proportional, we need to check if the ratio between corresponding values of and remains constant. Let's calculate the ratios for each pair of and :
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For , :
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For , :
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For , :
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For , :
Since the ratio is constant for all pairs of and , the table represents a proportional relationship.
Conclusion:
The table is proportional.
Would you like more details or have any questions?
Here are 5 related questions to expand your understanding:
- How can you recognize a proportional relationship in a table?
- How do you write the equation of a proportional relationship?
- What is the constant of proportionality in this table?
- How would the table look if the relationship were non-proportional?
- Can you graph the values from the table to verify proportionality?
Tip: A proportional relationship always passes through the origin when graphed.
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Math Problem Analysis
Mathematical Concepts
Proportional Relationships
Ratios
Formulas
Ratio = y/x
Theorems
Proportional Relationships Theorem
Suitable Grade Level
Grades 6-8