QUESTION IMAGE
Question
read the situations below 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 ✓ does not represent a function.
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 cell - phone bill (output). So, it is a function.
Step3: Analyze Situation 2
The formula for the perimeter \(P\) of a square with side length \(s\) is \(P = 4s\). For each value of \(s\) (input), there is a unique value of \(P\) (output). So, it is a function.
Step4: Analyze Situation 3
When considering the total amount of money charged monthly on credit cards to the number of credit cards owned, a single number of credit cards (input) can have multiple total amounts (outputs) depending on spending habits. So, it does not represent a function.
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Situation 3