Introduction to proportional relationships | 7th grade | Khan Academy
Khan Academy・2 minutes read
Proportional relationships have a consistent ratio between variables like y over x equaling three, while non-proportional relationships have varying ratios like 35 over 10; determining if a relationship is proportional involves analyzing how the variables change in relation to each other and calculating consistent ratios.
Insights
- Proportional relationships have a fixed ratio between two variables, demonstrated when y divided by x remains constant, showing a consistent proportional connection.
- Non-proportional relationships showcase changing ratios between variables, evident when the ratio between b and a fluctuates, as seen in instances where 35 divided by 10 deviates from previous ratios, highlighting an inconsistent relationship.
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Recent questions
How are proportional relationships defined?
Proportional relationships involve a consistent ratio between two variables, where the ratio remains the same throughout different values of the variables.
What distinguishes non-proportional relationships?
Non-proportional relationships are characterized by varying ratios between variables, where the ratio changes as the values of the variables change.
How can one identify a proportional relationship?
To identify a proportional relationship, one must examine how the variables change in relation to each other, calculating ratios like y to x or x to y to determine if the relationship maintains a consistent ratio.
What is the key factor in determining a proportional relationship?
The key factor in determining a proportional relationship is the consistent ratio between the variables, which remains the same regardless of the values of the variables.
Can you provide an example of a proportional relationship?
An example of a proportional relationship is when y over x always equals three, indicating a consistent ratio between the variables throughout different values.
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Summary
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Understanding Proportional vs Non-Proportional Relationships
- Proportional relationships involve a consistent ratio between two variables, as seen in examples where y over x always equals three, indicating a proportional relationship.
- Non-proportional relationships are characterized by varying ratios between variables, such as in cases where the ratio between b and a changes, like in the example where 35 over 10 does not match the previous ratios.
- To identify a proportional relationship, examine how the variables change in relation to each other, calculating ratios like y to x or x to y to determine if the relationship is consistent, with a proportional one maintaining the same ratio throughout.
