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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

$11.50
$11.50

$24
$24

$250

1 answer

To find the price per attendee, we first need to identify the additional cost associated with the number of attendees, excluding the base (fixed) cost.

Looking at the data in the table:

  • The fixed cost to rent the party space is $250 (when 0 attendees).
  • The cost increases as more attendees are added.

Next, we can look for the increase in cost associated with the addition of attendees. We will calculate the cost for a range of attendees to find the cost per person.

Using the values from the table, we can calculate the cost per attendee between the first two data points:

  1. From 0 to 20 attendees:

    • Cost for 0: $250
    • Cost for 20: $480
    • Increase in cost: $480 - $250 = $230
    • Cost per attendee: $230 / 20 = $11.50

  2. From 20 to 50 attendees:

    • Cost for 20: $480
    • Cost for 50: $825
    • Increase in cost: $825 - $480 = $345
    • Cost per attendee: $345 / (50 - 20) = $345 / 30 = $11.50

  3. From 50 to 70 attendees:

    • Cost for 50: $825
    • Cost for 70: $1,055
    • Increase in cost: $1,055 - $825 = $230
    • Cost per attendee: $230 / (70 - 50) = $230 / 20 = $11.50

Across all calculations, the price per attendee consistently appears to be $11.50.

Therefore, the answer is:

$11.50