Final answer:
The maximum amount that can be donated from organizing a fund-raiser at the movie theater is $2250, calculated by taking the ticket price per person ($10.00), subtracting the theater's rental fee ($5.50), and then multiplying by the maximum capacity (500 people).
Step-by-step explanation:
To find the maximum amount that can be donated from the fundraiser at the neighborhood movie theater, we must first understand that each person contributes $10.00 and $5.50 of this is used to pay for the movie theater's rental fee. Thus, the amount donated per person is $10.00 - $5.50.
Let the variable D represent the total donation amount, and we know that the maximum capacity of the theater is 500 people. So, the equation to find the maximum donation amount D is:
D = ($10.00 - $5.50) × 500
Calculate the amount that can be donated per person:
$10.00 - $5.50 = $4.50
Now, multiply the per person donation by the maximum number of people:
D = $4.50 × 500
D = $2250
Therefore, the maximum amount that can be donated to the summer camp fund is $2250.