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.

Question

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.