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)
Responses

$115
$115

$250
$250

$11.50
$11.50

$24

1 answer

To find the price per attendee, we need to determine the additional cost attributed to the number of attendees after accounting for the fixed rental fee.

  1. The rental cost when there are 0 attendees is $250. This is the base cost.
  2. For 20 attendees, the total cost is $480. The additional cost for 20 attendees is $480 - $250 = $230. The price per attendee for 20 attendees is $230 / 20 = $11.50.
  3. For 50 attendees, the total cost is $825. The additional cost for 50 attendees is $825 - $250 = $575. The price per attendee for 50 attendees is $575 / 50 = $11.50.
  4. For 70 attendees, the total cost is $1,055. The additional cost for 70 attendees is $1,055 - $250 = $805. The price per attendee for 70 attendees is $805 / 70 = $11.50.

By calculating the price per attendee from various attendance numbers, we confirm that the price per attendee remains consistent.

Therefore, the price per attendee is $11.50.

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