The statement that justifies the relationship is: D. it represents a function because no length has more than one price.
What is a Function?
For a relation to be considered a function, any of the following criteria must be met:
- Every x-value has exactly one corresponding y-value that relates to it. That is, no x-value (input) can have two different y-value (output).
- Two different x-values (inputs) can correspond to the same y-value (output) but two different y-values (outputs) must not relate or correspond to an x-value (input).
In the scenario given:
Length of ribbon = input (x-value)
Price of ribbon = output (y-value).
We can observe that each length of ribbon (input) has its own price (output), therefore, we can conclude that the price of ribbon is a function of the length of the ribbon.
The answer is: D. This relationship represents a function because no length has more than one price.
Learn more about functions on:
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