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)
Responses

$115
$115

$250
$250

$24
$24

$11.50

Answer 1

To determine the price per attendee, we can calculate the additional cost incurred for each person that attends the party.

From the data provided:

- The base cost for 0 attendees is $250.
- For 20 attendees, the cost increases to $480.
- The increase in cost from 0 to 20 attendees is:
\[
480 - 250 = 230
\]
- Therefore, the additional cost for 20 attendees is $230. To find the cost per additional attendee, we divide this increase by the number of attendees:
\[
\text{Cost per attendee} = \frac{230}{20} = 11.5
\]

We can check this with the 50 attendees to be thorough:

- The cost at 50 attendees is $825.
- The increase in cost from 20 to 50 attendees is:
\[
825 - 480 = 345
\]
- The number of additional attendees is:
\[
50 - 20 = 30
\]
- Thus, the cost per additional attendee from 20 to 50 is:
\[
\frac{345}{30} = 11.5
\]

Since both calculations confirm the same price per attendee, the price per attendee is:

\[
\boxed{11.50}
\]