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

Sample Answer: 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.

Explanation:

Answer 2

We know that charges vary with the days of the week. E.g. Go-karting costs higher ($10) on Saturday and Sunday compared to on Monday to Friday ($5)

We need to know if the cost is a function of the activity type ?

We know that the cost varies with the day. So the cost is a function of the day of the week. On weekdays the function yields a lower value, whereas on weekends it yields a higher value.

Since the cost for a particular activity is changing and not staying constant, hence the cost is not a function of activity type.