A charity organization is holding a benefit event. It receives \( \$ 28,000 \) in donations and \( \$ 225 \) for each ticket sold for the event. What equation models the total amount earned from the event as a function of the number of tickets sold? \( y= \)
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To model the total amount earned from the event, we can create an equation where \( y \) represents the total amount earned, while \( x \) represents the number of tickets sold. The organization starts with \( \$ 28,000 \) in donations and earns \( \$ 225 \) for each ticket sold. Thus, the equation would be: \( y = 28000 + 225x \) This equation shows that for every ticket sold, the total amount increases by \( \$ 225 \) on top of the initial donations. Understanding the impact of ticket sales can help engage more participants, which means the organization could consider various strategies such as early bird discounts or group sales to maximize attendance and donations. Creating excitement around the event could lead to increased ticket sales, inadvertently boosting the total earnings even more!