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The prices for different lengths of ribbon sold at a fabric store are shown in the table.

Which statement BEST justifies whether or not the relationship between the length and price represents a function?

A.
This relationship does not represent a function because it relates inches and dollars.
B.
This relationship represents a function because no length of ribbon has more than one price.
C.
This relationship represents a function because the price per inch decreases as the length of ribbon increases.
D.
This relationship does not represent a function because the prices of different lengths of ribbon are all different.

The prices for different lengths of ribbon sold at a fabric store are shown in the table Which statement BEST justifies whether or not the relationship between class=

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Answer:

B. This relationship represents a function because no length of ribbon has more than one price.

Step-by-step explanation:

A relation is considered as a function when there is exactly just one possible range value that any of the domain value can give. In order words, each domain value of a function cannot have more than one range value.

In the given table of values representing the length and price of ribbon, the domain includes all the set of lengths of the ribbon while the range is the set of the corresponding prices the lengths can cost.

Thus, each length given has exactly just one price. No particular length has more than one price. Therefore, we can consider this as a function.

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