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

$24
$24

$250
$250

$11.50
$11.50

$115

Answer 1

To determine the price per attendee, we first need to find the difference in cost as the number of attendees increases. Let's look at the costs provided in the table:

• For 0 attendees, the cost is $250.
• For 20 attendees, the cost is $480.

The difference in cost for 20 attendees is: \[ 480 - 250 = 230 \] So the additional cost for 20 attendees is $230. To find the cost per attendee, we divide this cost by the number of new attendees:

\[ \frac{230}{20} = 11.50 \]

Now, let's verify this with another set of data in the table, using 50 attendees:

• For 50 attendees, the cost is $825.
• The cost for 0 attendees is $250.

The increase in cost for 50 attendees is: \[ 825 - 250 = 575 \] Now, the additional cost for 50 attendees is $575. To find the cost per attendee:

\[ \frac{575}{50} = 11.50 \]

Both calculations give us the same cost per attendee.

Thus, the price per attendee is: $11.50.