2: Modeling in Mathematics

MGF 1131: Mathematics in Context (FSW) · LibreTexts

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    • 2.1: Linear Growth
      This section covers modeling linear relationships between variables using recursive and explicit formulas, highlighted by Marco's soda bottle collection and examples of population growth and crime rates. It emphasizes the importance of calculations like slope and time periods while offering practical exercises.
    • 2.2: Exponential, Natural, and Logistic Models
      This section explains exponential growth through various models, including fish populations, tuition rates, bank balances, and CO2 emissions. It highlights the differences between exponential and linear growth, using formulas like \(P(t) = P_0(1+r)^t\) for predictions. The importance of accurate growth rate calculations and rounding effects is emphasized, alongside specific examples in different contexts, such as population predictions for cities.

    This page titled 2: Modeling in Mathematics was last modified on Sun, 09 Mar 2025 22:31:31 GMT and is shared under a CC BY-SA 3.0 license and was authored, remixed, and/or curated by Cheban Acharya via source content that was edited to the style and standards of the LibreTexts platform.