Question

In order to ensure compliance with the law, Miguel routinely overshoots the weight of his tortillas by 0.5 gram. He just received a report that told him that he could be losing as much as $100,000 per year using this practice. He now plans to buy new equipment that guarantees the thickness of a tortilla within 0.005 inch. If the ideal thickness of a tortilla is 0.04 inch, what tortilla thickness will be guaranteed?

Answer 1

Miguel's new equipment will guarantee a tortilla thickness within the range of 0.035 to 0.045 inch, accurately meeting the ideal standard.

Step-by-step explanation:

Miguel is considering purchasing equipment that guarantees the thickness of a tortilla within 0.005 inch. Given that the ideal thickness of a tortilla is 0.04 inch, the guaranteed thickness with the new equipment will be within the range of 0.035 inch to 0.045 inch. This means that every tortilla produced will have a thickness that is no less than 0.035 inch and no more than 0.045 inch, maintaining accuracy to the standard required without unnecessary overages.

Answer 2

.035≤x≤0.045

Step-by-step explanation:

Let x= the actual measurement.

|actual − ideal|≤ tolerance

Use an absolute value inequality to express this situation.

|x−0.04|≤0.005

Rewrite as a compound inequality.

−0.005≤x−0.04≤0.005

Solve the inequality.

0.035≤x≤0.045

Answer the question. The tortillas will have a maximum thickness of 0.045 inch and a minimum thickness of 0.035 inch.