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Restaurant Revenue
In this activity, you will create quadratic inequalities in one variable and use them to solve
problems. Read this scenario, and then use the information to answer the questions that
follow.
Noah manages a buffet at a local restaurant. He charges $10 for the buffet. On average,
16 customers choose the buffet as their meal every hour. After surveying several
customers, Noah has determined that for every $1 increase in the cost of the buffet, the
average number of customers who select the buffet will decrease by 2 per hour. The
restaurant owner wants the buffet to maintain a minimum revenue of $130 per hour.
Noah wants to model this situation with an inequality and use the model to help him
make the best pricing decisions.
Write two expressions for this situation, one representing the cost per customer and
the other representing the average number of customers. Assume that x represents
the number of $1 increases in the cost of the buffet.
Enter the correct answer in the box. Type the cost expression on the first line and
the customer expression on the second line.