Question

Fun Zone offers four party packages. The prices for each package are $50 more on weekends than they are on weekdays, as shown in the table below.


Party Package Rates
Package number
Weekend or weekday
Price
1
Weekend
$160
1
Weekday
$110
2
Weekend
$180
2
Weekday
$130
3
Weekend
$230
3
Weekday
$180
4
Weekend
$300
4
Weekday
$250

Which statement best describes the relation (package number, price)?
It is a function because there is a price given for every package.
It is a function because weekend packages are always $50 more than weekday packages.
It is not a function because each package number has two different prices.
It is not a function because there are two different packages available for $180.

Answer 1

The correct statement that best describes the relation (package number, price) is:

**It is not a function because each package number has two different prices.**

In this case, for each package number (1, 2, 3, 4), there are two different prices (one for the weekend and one for the weekday), which violates the definition of a function where each input must correspond to exactly one output.