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

$24
$24

$250
$250

$11.50
$11.50

$115
$115
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1 answer

To find the price per attendee, we can use the cost data for different numbers of attendees from the table.

  1. First, we need to determine the fixed cost (the cost when there are 0 attendees). This is $250.
  2. Next, we can calculate the cost for each additional attendee.

Let's take the data for the two points in the table:

  • When there are 20 attendees, the cost is $480.
  • When there are 0 attendees, the cost is $250.

Now, we can find the additional cost for those 20 attendees: \[ \text{Additional Cost} = \text{Cost with 20 attendees} - \text{Fixed Cost} \] \[ \text{Additional Cost} = 480 - 250 = 230 \]

Now we divide the additional cost by the number of additional attendees to find the cost per attendee: \[ \text{Cost per Attendee} = \frac{\text{Additional Cost}}{\text{Number of Attendees}} = \frac{230}{20} = 11.50 \]

Thus, the price per attendee is $11.50.

So the correct response is: $11.50

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