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.

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.

Cost  is not a function of Activity type

As comparing prices for activities at a local recreation center, We  notice that the center charges different prices on different days of the week.

We can say that cost  is not a function of activity type due to following explanation.  

Let the different types of activities are as follows

and let be the cost

According to the definition of the function

For a Unique value of x there  will be a unique value of y

Which means

equation (1) holds good only in cases if y is a function of x,

Which means the For each cost there must be a unique activity.

But as this is also  depending also on the day itself so we can not say that it is a function so  it only a simple relation.

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step-by-step explanation:

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