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
$115

Answer 1

To determine the price per attendee, we can look at the changes in cost as the number of attendees increases.

From the table, we can compare the costs at different numbers of attendees. Let's look at the costs for 20 attendees and 0 attendees:

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

The additional cost for 20 attendees is: \[ 480 - 250 = 230 \]

Now, to find the price per attendee, we divide this additional cost by the number of additional attendees (20):

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

Now, checking the cost between 20 and 50 attendees:

• For 20 attendees, the cost is $480.
• For 50 attendees, the cost is $825.

The additional cost for 30 attendees is: \[ 825 - 480 = 345 \]

Now, to find the price per attendee for these 30 attendees:

\[ \frac{345}{30} = 11.50 \]

The same difference can be calculated using the costs for 50 attendees to 70 attendees:

• For 50 attendees, the cost is $825.
• For 70 attendees, the cost is $1,055.

The additional cost for 20 attendees (from 50 to 70 attendees) is: \[ 1,055 - 825 = 230 \]

And price per attendee is:

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

Each calculation confirms that the price per attendee is $11.50.

Therefore, the correct answer is:

$11.50