The corporate team-building event will cost $7.60 if it has 4 attendees. If there are 9 attendees, how much will the corporate team-building event cost? Assume the relationship is directly proportional.
Question
The corporate team-building event will cost $7.60 if it has 4 attendees. If there are 9 attendees, how much will the corporate team-building event cost? Assume the relationship is directly proportional.
Solution
Step 1: Understand the problem The problem is asking us to find the cost of a corporate team-building event for 9 attendees. We know that the cost for 4 attendees is $7.60 and that the relationship between the number of attendees and the cost is directly proportional.
Step 2: Set up the proportion We can set up a proportion to solve this problem. A proportion is an equation that states that two ratios are equal. In this case, the ratio is the cost of the event to the number of attendees. So, we can write the proportion as follows:
4 attendees / $7.60 = 9 attendees / x
where x is the cost of the event for 9 attendees.
Step 3: Solve the proportion To solve for x, we can cross-multiply:
4x = 9 * $7.60
Then, divide both sides by 4 to solve for x:
x = (9 * $7.60) / 4
Step 4: Calculate the answer Now, we just need to do the calculation:
x = $17.10
So, the corporate team-building event will cost $17.10 if there are 9 attendees.
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