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are you given? Practice setting up an inequality for each of the situations below. Do not solve. \( \begin{array}{ll}\text { I. The school football feam is selling raffle tickets for a fundraiser. It costs } \$ 155 \text { to print the } \\ \text { tickets, and they would like to make at least a } \$ 2,500 \text { profit. How much money do they need to } \\ \text { raise to cover the printing costs and meet their goal? } \\ \text { a. What does the variable represent? } \\ \text { b. Write an inequality: }\end{array} \)

Ask by Klein Graham. in the United States
Jan 24,2025

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Tutor-Verified Answer

Answer

To cover the printing costs and meet the profit goal, the school football team needs to raise at least \$2,655.

Solution

To set up the inequality for the given situation, let's break it down step by step. ### Known Conditions: 1. The cost to print the tickets is \$155. 2. The desired profit is at least \$2,500. ### Step-by-Step Breakdown: #### a. What does the variable represent? Let's define a variable: - Let \( x \) represent the total amount of money raised from selling the raffle tickets. #### b. Write an inequality: To find the total amount of money raised that covers both the printing costs and the desired profit, we can express this as follows: 1. The total amount raised \( x \) must be greater than or equal to the sum of the printing costs and the desired profit. 2. The printing costs are \$155, and the desired profit is \$2,500. Thus, the inequality can be set up as: \[ x \geq 155 + 2500 \] This simplifies to: \[ x \geq 2655 \] So, the inequality representing the situation is: \[ x \geq 2655 \] This means the school football team needs to raise at least \$2,655 to cover the printing costs and meet their profit goal.

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Beyond the Answer

To set up an inequality for this fundraiser situation, let’s think about the variables involved. Let \( x \) represent the total amount of money raised from ticket sales. To cover printing costs of $155 and achieve a profit of at least $2,500, the inequality can be structured as \( x - 155 \geq 2500 \). This means that after covering the printing costs, they still need to have at least $2,500 remaining as profit! Now you can visualize a team rallying the community to meet their fundraising goals, and hopefully, the football fun will lead to a successful outcome! Plus, remember that successful fundraisers often boost team morale and foster community spirit!

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