mrburtonrobl mrburtonrobl

04-01-2024
Mathematics

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Travis owns a food truck that sells tacos and burritos. He only has enough supplies to make 120 tacos or burritos. He sells each taco for $3.75 and each burrito for $6.25. Travis must sell no less than $530 worth of tacos and burritos each day. Also, he can sell at most 70 burritos. If a 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. Number of Inequalities: 3 Inequality 1: ys Inequality 2: Select Inequality 3: Select plot plot plot switch shade switch shade switch shade

Travis owns a food truck that sells tacos and burritos He only has enough supplies to make 120 tacos or burritos He sells each taco for 375 and each burrito for class=

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sqdancefan sqdancefan

04-01-2024

Answer:

y ≤ 70
x + y ≤ 120
3.75x +6.25y ≥ 530

Step-by-step explanation:

You want inequalities using x and y for numbers of tacos and burritos, respectively, that represent ...

the total of tacos and burritos cannot exceed 120
revenue from tacos for 3.75 and burritos for 6.25 cannot be less than 530
the number of burritos is at most 70.

Inequalities

We generally like to write the inequalities in the order the constraints are given in the problem statement. This helps ensure nothing is missed.

The first constraint is on the total number of products that can be produced:

x + y ≤ 120

The second constraint is on the required revenue:

3.75x +6.25y ≥ 530

The remaining constraint is on the possible numbers of burritos:

y ≤ 70

Your answer selections may require you to rearrange these inequalities.

Graph

The attached graph shows these inequalities. The solution space is the area that is shaded by all three inequalities. It is a flat-topped triangle.

__

Additional comment

For most problems of this nature, there are additional constraints that x ≥ 0 and y ≥ 0, which restricts the solution of each inequality to the first quadrant.

Ver imagen sqdancefan

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