Rewriting Exponential Functions to Interpret Growth Rates

Miacademy & MiaPrep Learning Channel

This video provides a focused tutorial on how to interpret change in exponential models when the given functions are not in standard form. Hosted by an instructor named Randy, the lesson uses algebraic manipulation to rewrite complex exponential equations into forms that are easier to analyze. The video specifically targets the skill of applying exponent rules—such as the product of powers property—to isolate the initial value and the growth factor within real-world modeling contexts. The content is centered around two main practice problems. The first problem involves a viral internet video model, challenging students to determine the monthly growth factor of views. The second problem explores a biological model of plant growth, requiring students to calculate the daily percent increase in mass. Through these examples, the video demonstrates a step-by-step process: identifying the non-standard structure, applying rational exponent properties to separate terms, evaluating the variable term for a single time unit (t=1), and converting growth factors into percentage rates. For educators, this video serves as an excellent resource for Algebra 1 and Algebra 2 classrooms. It connects abstract algebraic properties to concrete applications, helping students understand why rewriting equations is a necessary skill for data interpretation. The clear, handwritten demonstrations on a digital whiteboard make it easy to follow the mathematical logic, making this an ideal tool for introducing more complex modeling problems or for reviewing exponent rules before a unit test.