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Question
pre-algebra ic sem 1 fall 2025
introduction to functions
determining which real-world situation is not a function
read the given situations and determine which relationship is not functional.
situation 1: a cell phone bill to the amount of minutes used
situation 2: the perimeter of a square to the length of one of the sides of a square
situation 3: the total amount of money charged monthly on credit cards to the number of credit cards owned
situation
this is because
Step1: Recall the definition of a function
A function is a relation where each input has exactly one output.
Step2: Analyze Situation 1
For a cell - phone bill to the amount of minutes used: Each number of minutes (input) has a unique bill amount (output). So, it is a function.
Step3: Analyze Situation 2
For the perimeter of a square to the length of one side: Using the formula \(P = 4s\) (where \(P\) is perimeter and \(s\) is side - length), each side - length (input) has a unique perimeter (output). So, it is a function.
Step4: Analyze Situation 3
For the total amount of money charged monthly on credit cards to the number of credit cards owned: One number of credit cards (input) can have multiple total amounts (outputs) depending on spending. So, it is not a function.
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Situation 3 does not represent a function.