Respuesta :
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
[tex]x_1, x_2,x_3,x_4 \; and\; x_4 \; etc[/tex]
and let [tex]y[/tex] 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
[tex]y = f(x) .......(1)[/tex]
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.
For more information please refer to the link below
https://brainly.com/question/12431044