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The charity gala will cost $200 if it has 20 attendees. If there are 85 attendees, how much will the charity gala cost? Assume the relationship is directly proportional.

Question

The charity gala will cost $200 if it has 20 attendees. If there are 85 attendees, how much will the charity gala cost? Assume the relationship is directly proportional.

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Solution

Step 1: Understand the problem. The cost of the charity gala is directly proportional to the number of attendees. This means that as the number of attendees increases, the cost of the gala also increases at the same rate.

Step 2: Find the rate of increase. In this case, we know that the gala costs 200for20attendees.So,therateofincreaseis200 for 20 attendees. So, the rate of increase is 200/20 = $10 per attendee.

Step 3: Apply the rate to the new number of attendees. If there are 85 attendees, and the cost increases by 10foreachattendee,thenthetotalcostwillbe8510 for each attendee, then the total cost will be 85 * 10 = $850.

So, if there are 85 attendees, the charity gala will cost $850.

This problem has been solved

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