Question

When comparing prices for activities at a local recreation center, you notice that the center charges different prices on different days of the week. For example, riding a go-kart costs $10 on Saturday and Sunday and $5 on Monday through Friday. Is the cost a function of the activity type? Explain why or why not.

Answer 1

The correct answer is:

No, it is not.

Explanation:

A function is a relation in which each element of the domain, or x-value, is mapped to one element of the range, or y-value.

The question we are asked is if cost is a function of the activity type.  This means that cost would be the range and activity type would be the domain.

If this is a function, then each activity type would have only one cost.  However, on different days of the week each activity type has different prices; this means there is more than one cost for each activity type, and it is not a function.

Answer 2

The activity type would be the input and the cost would be the output. Because there are two different costs for the same activity, this would not be a function.
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Hope this helps! :)