James raises chickens. He tracks the number of eggs his chickens lay at the end of each week. Is this relation a function? Explain.
Understand the Problem
The question is asking whether the relationship between the number of weeks and the number of eggs laid is a function. A function is defined as a relationship where each input is associated with exactly one output. We need to analyze the data provided to determine if it meets this criterion.
Answer
Yes, this relation is a function.
Answer for screen readers
Yes, this relation is a function.
Steps to Solve
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Identify Input and Output The input represents the number of weeks, while the output corresponds to the number of eggs laid at the end of each week.
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Examine Data Points The provided data is as follows:
- Week 1: 7 eggs
- Week 2: 13 eggs
- Week 3: 22 eggs
- Week 4: 26 eggs
- Week 5: 30 eggs
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Check for Uniqueness We need to check if each week (input) corresponds to exactly one number of eggs (output). Here, each week has a unique number of eggs laid.
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Conclusion on Functional Relationship Since every week maps to exactly one output (the number of eggs), we conclude that this relationship is indeed a function.
Yes, this relation is a function.
More Information
In this case, every week has a unique number of eggs laid by the chickens, which meets the definition of a function. Each input (week) corresponds to one specific output (number of eggs), demonstrating a clear functional relationship.
Tips
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