MAT 126 Project
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School
Southern New Hampshire University *
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Course
126
Subject
Mathematics
Date
Feb 20, 2024
Type
docx
Pages
9
Uploaded by SuperHumanResolve13326
MAT 126 Project Template
Project
Kyle Larsen
Southern New Hampshire University
MAT-126-Q7789 Modern Problem-Solving Milda Aramaviciute
December 10, 2023
Part One: Context
In this section, you will introduce your chosen scenario and how math can be used to solve the problem. Refer to the Project Guidelines and Rubric for the required criteria. I have chosen Scenario 1. The article of energy drink sales in the United States from 2017-2021. Math is used in this scenario to track data and analyze the sales of energy drinks in the United Stated from 2017 to 2021. The number represents the sales in billions of U.S dollars for each year. Math is used to calculate the total sales for each year, determine the changes in sales from year to year, and analyze trends in the data. Math can also be used to calculate the annual sales, find the highest and lowest sales figures, and make predictions projections for future sales based on the data.
There are several mathematical elements presented that contribute to the analysis of energy drink sales. Sales figures, the scenario provides numerical data in the form of sales figures for different energy drink brands. These figures represent the quantities of drinks sold during a specific period. Percentage calculation, it mentions that energy drink sales accounted for
84 percent of the total packaged beverages market. This involves calculating the percentage of energy drink sales out of the total sales of packaged beverages. Growth rates, the scenario indicated that the energy drink market experienced a 60 percent growth rate. This involves calculating the percentage increase in sales from one period to another. Growth rates help understand the pace of expansion and market dynamics. These mathematical elements provide the foundation for quantitative reasoning and analysis in the scenario. There are several characteristics of quantitative data in this scenario. Numerical Values, Time period, Growth rates, Comparative analysis, and Aggregated data. The data consists of numerical values, such as sales figures in billions of U.S dollars, providing a standard unit for
measuring the sales of energy drinks. The data spans a specific time period from 2017 to 2021, allowing for the analysis of trends and changes in energy drink sales over time. The data also includes information on the growth rates of energy drink sales, such as the percentage increase in
sales volume between 2018 and 2019. The data allows for comparing different energy drink brands based on their sales figures, identifying the leading brand and its market dominance. The data is aggregated to provide an overall picture of energy drink sales in the U.S, including the total sales for each year and the market share of energy drinks in the packaged beverages industry. Overall, the quantitative data provides measurable and numerical information about energy drink sales in the U.S, enabling analysis, comparisons, and tracking of trends over time.
Quantitative reasoning is highly relevant in this scenario for several reasons. It allows us to analyze and track trends in the sales over time. By examining the numerical values and changes in sales figures, we can identify patterns, growth rates, and fluctuations in the market. Quantitative reasoning also helps us understand the market share of energy drinks in the packaged beverage industry. By calculating the percentage of energy drink sales in comparison to other packaged beverages, we can evaluate the market size and competitive landscape. Overall
quantitative reasoning is relevant in this scenario as it provides a systematic and analytical approach to understanding energy drink sales. It helps in analyzing market share, forecasting, and making data-driven decisions for business success.
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Part Two: Questions and Answers
In this section, you will discuss how math could be used to analyze your problem and propose a solution. Refer to the Project Guidelines and Rubric for the required criteria.
In analyzing the scenario (Scenario 1 energy drinks at school) for specific mathematical techniques, there are a few approaches that I can use to support my position when contacting the state representative. Quantify the health impact: I can gather data on the negative health impacts associated with energy drink consumption, such as increased heart rate, high blood pressure and potential long-term health consequences. I can calculate the prevalence of these health issues among minors who consume energy drinks. I will also use statistical techniques like odds ratios or relative risks to compare the health risks between minors who consume energy drinks and those who do not. Various forms of data visualization can be used to analyze and present the gathered information. These data visualization techniques can include creating graphs, charts, or infographics to represent the collected data effectively. Data collection, data analysis, and interpreting results. Data collection, I can gather information on the number of minor consuming energy drinks, their frequency of consumption, and the potential negative impacts. This data can be obtained through surveys or by analyzing existing research studies on the topic. For the visualization I could choose an appropriate form of data visualization to represent the collected data effectively. This could be done using graphs, charts, or infographics. An example I could create a bar chart to show percentage of minors consuming energy drinks at different frequencies
(daily, weekly, monthly)
Data analysis, I would analyze the data visualization to identify trends and patterns. Look
for correlations between the frequency of energy drink consumption and the reported negative health impacts. Determine the potential long-term costs associated with these health impacts.
Interpreting results, based on the data analysis, interpret the finding to support or oppose the bill prohibiting the sale of energy drinks to minors. An example, if the data shows a high prevalence of negative health impacts among minors consuming energy drinks frequently, I can ague in favor of the bill by highlighting the potential long-term costs to the healthcare system. By using math and data visualization techniques, I can present a clear and evidence-based
argument when contacting my state representative regarding the bill. Along with using data collection and data visualization I would use descriptive statistics by calculate basic measures of central tendency (mean, median, and mode) and measures of dispersion (range, standard deviation) to summarize the collected data. This can provide a clear understanding of the current situation and potential impacts. With cost analysis I would quantify the potential long-term costs of negative health impacts associated with energy drink consumption by minors. This can involve estimating healthcare costs, productivity losses, and potential impacts on the economy. This analysis can be done using mathematical modeling and statistical techniques. For cost-benefit I would evaluate the financial impact on schools if the sale of energy drinks to minors is prohibited. This can involve estimating the revenue generated from energy drink sales and comparing it to the potential benefits of improved health outcomes for students.
These mathematical strategies can help me analyze the situation, quantifying the potential
impacts, and informing the decision-making process regarding the bill prohibiting the sale of energy drinks to minors.
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Part Three: Informed Decisions
In this section, you will analyze relevant data associated with your chosen scenario. Refer to the Data Toolkit in the “Supporting Materials” section. You may add charts/diagrams, but this is not required and does not count toward the required page count. Refer to the Project Guidelines and Rubric for the required criteria.
Data analysis can play a crucial role in the scenario of the bill prohibiting the sale of energy drinks to minors. Understanding consumption, patterns: data analysis can help in determining the current consumption patterns of energy drinks by minors. By collecting data on the frequency and quantity of energy drink consumption among different age groups, it become possible to identify any trends or patterns. Data analysis with assessing health impacts can be used to evaluate the potential negative health impacts associated with energy drink consumption by minors. By analyzing data on health outcomes such as hospitalizations, emergency room visits, or reported adverse effects related to energy drinks, it becomes possible to determine the extent of the health risks. This analysis can provide evidence for the need to protect minors from potential harm caused by energy drinks. Estimating financial impacts data analysis can help in estimating the financial impact on schools if the sale of energy drinks to minors is prohibited. Evaluating effectiveness data analysis
can also be used to evaluate the effectiveness of the bill if it is implemented. By comparing data on energy drink consumption and health outcomes before and after the implementation, it becomes possible to assess the impact of the policy. Data analysis can be used to understand consumption patterns, assess health impacts, estimate financial implications, and evaluate effectiveness.
Data plays a crucial role in supporting informed decision making by providing evidence, facts, and insights that can inform the decision-making process. Data provides a factual basis for decision-making, offers insight onto trends and patterns, enables risk assessment, evaluates performance, facilitates stakeholder engagement, and supports benchmarking. By leveraging data
effectively, decision-making can make informed choices that are more likely to lead to desired outcomes and minimize potential risks. Using multiple credible sources of data enhances decision-making by ensuring accuracy, reducing bias, increasing confidence, accessing diverse perspectives, addressing data gaps, and building a stronger case. It enables decision-making to make informed and well-rounded choices,
leading to better outcomes. The purpose of using quantitative reasoning to make informed decisions in a given scenario is to bring a systematic and analytical approach to decision-making by utilizing numerical data and mathematical models. Quantitative reasoning involves the ability to analyze and interpret numerical information, identify patterns and draw logical conclusions.
References
Published by M. Ridder, & 27, J. (2022b, July 27). Energy drink sales in the U.S. 2021
. Statista. https://www.statista.com/statistics/558022/us-energy-drink-sales/
Explore scientific, technical, and medical research on ScienceDirect. ScienceDirect.com | Science, health and medical journals, full text articles and books. (n.d.). https://www.sciencedirect.com/
Explore scientific, technical, and medical research on ScienceDirect. ScienceDirect.com | Science, health and medical journals, full text articles and books. (n.d.). https://www.sciencedirect.com/
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