Modelagem Matemática e Estatística no Ensino : estudo de caso sobre sobras em um restaurante

Abstract

This research aims to explore the intersection between Mathematical Modeling and Statistics in education, utilizing a case study to analyze food waste in a restaurant. The methodology employed is based on Mathematical Modeling, grounded in the theoretical contributions of Bassanezi. The process included selecting a relevant topic, collecting data on the quantities of food prepared, sold, and wasted, and applying Mathematical Modeling and Statistical techniques to interpret this information. The study analyzed data collected between January and June 2024, focusing on sales from Monday to Wednesday while excluding outliers. The results indicated an average sales volume of 79.35 kg and a standard deviation of 18.61 kg. The trend line, expressed by the equation y = -0.0557x + 10.24, demonstrated an inverse relationship between the quantity sold and waste, while the Pearson Correlation of -0,388 suggested a moderate negative correlation. The coefficient of determination R² of 0.151 revealed that a portion of the variability in waste could be explained by the quantity sold. This study emphasizes the importance of implementing rigorous planning strategies to optimize production and reduce waste, contributing to the practical application of Mathematical Modeling and Statistics in education. The analysis of the data not only enriches the understanding of waste in real-world contexts but also reinforces the relevance of these disciplines in the initial training of Mathematics teachers.