Linear Functions in Context Quick Check

Question

Use the table to answer the question.
Number of Attendees
Party Cost ($)
0
250
20
480
50
825
70
1,055
There is a fee to rent a party space for a birthday event. There is an additional fee for each person who attends the party. The table represents the graph that displays this relationship between party cost and number of attendees. What is the price per attendee?
(1 point)
• $115
$24
$250
• $11.50

Answer 1

To find the price per attendee, we need to look at the cost increases with the number of attendees in the table provided.

Let's observe the cost changes:

• From 0 to 20 attendees, the cost increases from $250 to $480:
  • Increase: $480 - $250 = $230
  • Number of attendees: 20 - 0 = 20
  • Price per attendee = Increase in cost / Increase in number of attendees = $230 / 20 = $11.50

Now we can verify this with other points:

• From 20 to 50 attendees, the cost increases from $480 to $825:

  • Increase: $825 - $480 = $345
  • Number of attendees: 50 - 20 = 30
  • Price per attendee = $345 / 30 = $11.50

• From 50 to 70 attendees, the cost increases from $825 to $1,055:

  • Increase: $1,055 - $825 = $230
  • Number of attendees: 70 - 50 = 20
  • Price per attendee = $230 / 20 = $11.50

In all cases, the price per attendee remains consistent at $11.50.

Therefore, the price per attendee is $11.50.