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

A. $11.50

B. $115

C. $250

D. $24

Answer 1

To find the price per attendee, we need to determine the variable cost related to each additional attendee.

We can look at the difference in cost as the number of attendees increases from one value to another. Let's analyze the costs for different numbers of attendees:

1. From 0 to 20 attendees:

   • Cost increases from $250 to $480.
   • Change in cost = $480 - $250 = $230.
   • Number of additional attendees = 20 - 0 = 20.
   • Price per attendee = Change in cost / Number of additional attendees = $230 / 20 = $11.50.

2. From 20 to 50 attendees:

   • Cost increases from $480 to $825.
   • Change in cost = $825 - $480 = $345.
   • Number of additional attendees = 50 - 20 = 30.
   • Price per attendee = $345 / 30 = $11.50.

3. From 50 to 70 attendees:

   • Cost increases from $825 to $1,055.
   • Change in cost = $1,055 - $825 = $230.
   • Number of additional attendees = 70 - 50 = 20.
   • Price per attendee = $230 / 20 = $11.50.

In all cases, the price per attendee is consistently $11.50.

Therefore, the answer is:

A. $11.50