Question

pedro owns a food truck that sells tacos and burritos. He only has enough supplies to make 140 tacos or burritos. He sells each taco for $3 and each burrito for $6. Pedro must sell a minimum of $600 worth of tacos and burritos each day. If � x represents the number of tacos sold and � y represents the number of burritos sold, write and solve a system of inequalities graphically and determine one possible solution.

Answer 1

To determine the number of tacos and burritos Pedro can sell, we use a system of inequalities based on supply and revenue constraints and solve it graphically, finding combinations of tacos and burritos that satisfy both conditions.

Step-by-step explanation:

Pedro owns a food truck that sells tacos and burritos with enough supplies to make either 140 tacos or burritos. Each taco is sold for $3 and each burrito for $6, and Pedro needs to make a minimum of $600 per day. To find a possible solution for the number of tacos and burritos Pedro can sell, we set up a system of inequalities:

• x + y ≤ 140 (Supply constraint)
• 3x + 6y ≥ 600 (Revenue constraint)

To solve these graphically, we would plot both inequalities on a coordinate plane with x-axis representing tacos and y-axis representing burritos. The feasible region meeting both constraints would represent possible combinations of x (tacos) and y (burritos) Pedro could sell.