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Concept explainers
To find:
If the price paid is a function of the number of shirts purchased.
![Check Mark](/static/check-mark.png)
Answer to Problem 58PPE
The price paid is not a function of the number of shirts purchased because there are different total costs (35 and 36) for the same number of shirts i.e. 5 shirts. Or, option C is correct option.
Explanation of Solution
Given information:
Below table represents the price paid p for the number of shirts purchased n for the six stores:
Concept used:
While forming an ordered pair, independent variable is put as first number and dependent variable is put as second number. Further, a relation is a function if for each different first value, there is always a unique second value in its given ordered pairs. Or, if two first elements are same, then their associated second values should also be same.
Calculation:
Each column`s entries will represents a single ordered pair in form
are two pairs, having same first two values, but their second associated values are different, that are against the definition of the function.
Conclusion:
So, clearly the given relation in tabular form is not a function because there are two different total costs for the same number of shirts i.e. 5 shirts.
Chapter 1 Solutions
High School Math 2011 Algebra 1 Student Companion Grade 8/9
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