Your soccer team isn't holding a silent auction dinner as a fundraiser to pay for school uniforms. The list shows all the expenses for the silent auction, 1) a tablet costs $280 2) football tickets that cost $100 3) a gift card that cost $20 4) the cost of the food is $400. The members of the soccer team will be selling tickets to the silent auction. A ticket to the silent auction includes chances to win prizes and dinner. The ticket cost is set so that 50 tickets will pay for the cost of food and prizes and food. Part a determine the cost per ticket. Part B build a function that can be used to find the total profit, f (x), the soccer team earns by selling x tickets. Show your work to build a function. Part C your soccer team needs to raise at least $300 more than the total cost of the expenses. What is the minimum number of tickets that must to be sold in order for your team to reach their goal? Use the mathematics to justify your response.
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