Question

Abigail owns a food truck that sells tacos and burritos. She only has enough supplies

to make 130 tacos or burritos. She sells each taco for $3 and each burrito for $6.
Abigail must sell no less than $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

One possible solution can be found by graphing a system of inequalities based on the information provided and choosing a point within the feasible region.

Step-by-step explanation:

To solve this problem, we can create a system of inequalities based on the given information.

Let x represent the number of tacos sold and y represent the number of burritos sold.

The first inequality is based on the number of tacos Abigail can make:

x ≤ 130

This means that the number of tacos sold cannot exceed 130.

The second inequality is based on the number of burritos Abigail can make:

y ≤ 130

This means that the number of burritos sold cannot exceed 130.

The third inequality is based on the minimum sales requirement of $600:

3x + 6y ≥ 600

This means that the total revenue from tacos and burritos sold must be greater than or equal to $600.

Graphing these inequalities will give us the feasible region, which represents the possible solutions.

To find one possible solution, we can choose a point within the shaded region.