Use the table to answer the question.

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

$250
$250

$11.50
$11.50

$115
$115

$24

Answer 1

To determine the price per attendee, we first need to find the additional cost associated with each attendee.

From the table, we can calculate the total cost increase when the number of attendees increases:

1. From 0 to 20 attendees, the cost increases from $250 to $480:

   • Cost increase: \(480 - 250 = 230\)
   • Number of new attendees: \(20 - 0 = 20\)
   • Cost per attendee: \( \frac{230}{20} = 11.50\)

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

   • Cost increase: \(825 - 480 = 345\)
   • Number of new attendees: \(50 - 20 = 30\)
   • Cost per attendee: \( \frac{345}{30} = 11.50\)

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

   • Cost increase: \(1055 - 825 = 230\)
   • Number of new attendees: \(70 - 50 = 20\)
   • Cost per attendee: \( \frac{230}{20} = 11.50\)

In all cases, the additional cost per attendee is consistently calculated as \( \text{$11.50} \).

Thus, the price per attendee is $11.50.