Question

A local food truck specializes in gourmet grilled cheese sandwiches. Each month, the owners of the truck have a constant total of $5,400 in expenses (salaries, truck loan, etc.) and it costs $2.25 per sandwich to make each sandwich. The food truck sells its sandwiches for $9.00 each.
a) Write an inequality to represent how many sandwiches, s, the food truck will have to sell each month to earn more money from selling sandwiches than it pays in expenses and sandwich costs.

b) Solve the inequality. Show your steps or explain your answer.

c) To gain more sales, the food truck offers a discount one month of $1.00 off its sandwiches. How many more sandwiches will it need to sell to earn more money from selling sandwiches than it pays in expenses and food costs? Explain your answer, mathematically or in words.

Answer 1

Answer:

A. (9 - 2.25)s ≥ 5,400

B. They will have to sell more than 800 sandwiches per month. I first started by solving the parentheses which is 6.75. Then I divided 5,400 by 6.75 to get 800.

C. It will now end up looking like this: (8 - 2.25)s ≥ 5,400. Then it will be 5.75. Then divide 5,400 by 5.75. Then you end up with 939.13. You have to round up when you are talking about inequalities with money so it will be 940. So they will have to sell 140 more sandwiches during that month.

Step-by-step explanation: