Chapter 4, Problem 30LOR

For Questions 28–37, refer to the following: From years of experience, a bagel shop has determined that at a price of , they will sell $\mathrm{x\; <mo>\; =\; <mn>\; 450\; </mn>\; </mo>}$ bagels each week. If they lower the price to , they will sell $\mathrm{x\; <mo>\; =\; <mn>\; 550\; </mn>\; </mo>}$ bagels each week.

The costs of doing business for a company can be found by adding fixed costs, such as rent, insurance, and wages, and variable costs, which are the costs to purchase the product you are selling. The portion of the bagel shop’s fixed weekly costs allotted to bagels is $200, and the supplies to actually produce each bagel cost $0.75. Write an equation that represents the total cost to the shop of producing x bagels. Your equation should look like .