Which of the following scenarios does not represent a function?
A. Kirin saves $5 from her allowance every week.
B. Brent weighs himself each week. One week, he weighs himself twice.
C. Amanda runs two circuits around the park in 45 minutes.
D. DeSean belongs to a DVD club where he receives 2 DVDs every month.
I know the answer is either B or C. However, I'm leaning more towards B... Is this correct?
It would be B as Brent weighs himself twice on one week ONLY thus ruining the pattern of the function. Hope this helps!
I actually already turned it in, but I figured I would let you know you were correct! :)
Thanks for letting me know!
Has anyone seen this? :(
Yes, you are correct. Scenario B does not represent a function. In order for a scenario to represent a function, each input (or x-value) should have a unique output (or y-value). Let's examine each scenario:
A. Kirin saves $5 from her allowance every week.
This scenario represents a function because each week (input), there is a unique amount of money saved (output). For example, in the first week, Kirin saves $5; in the second week, she saves another $5, and so on.
B. Brent weighs himself each week. One week, he weighs himself twice.
This scenario does not represent a function because there are two different outputs for the same input. Brent weighs himself twice in one week, which means that for that particular week, the input (week) has two different outputs (weights), making it not a function.
C. Amanda runs two circuits around the park in 45 minutes.
This scenario represents a function because for a given time of 45 minutes (input), there is a unique number of circuits run (output). In other words, if we know the time is 45 minutes, we can determine that Amanda runs two circuits.
D. DeSean belongs to a DVD club where he receives 2 DVDs every month.
This scenario represents a function because each month (input), DeSean receives a fixed number of DVDs (output). In this case, the output is always 2 DVDs per month.
Therefore, out of the given options, scenario B does not represent a function.