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17 Exponential Growth Examples in Real Life. Exponential growth is a pattern of data that shows a sharp increase over time. The graph of exponentially growing data is generally plotted on a logarithmic scale.
Apply common exponential models to real-life situations. Apply common logarithmic models to real-life situations. We have already explored some basic applications of exponential and logarithmic functions.
17 maj 2013 · In this lesson we show several Real Life uses of Exponents, as well as their impact on our understanding of the modern world around us. Exponents are fundamental, especially in Base 2 and Base 16, as well as in Physics and Electronics formulas involved in Computing.
Exponential functions can grow or decay very quickly. Exponential functions are often used to model things in the real world, such as populations, radioactive materials, and compound interest. Created by Sal Khan and CK-12 Foundation.
Exponential functions show rapid growth or decay, and they are often used to model real-life phenomena that exhibit exponential behavior. For example, the growth of bacteria in a Petri dish, the decay of radioactive materials, the growth of populations, the depreciation of assets, and the spread of diseases.
Exponential growth is the increase in number or size at a constantly growing rate. In exponential growth, a population’s per capita (per individual) growth rate stays the same regardless of the population size, making it grow faster and faster until it becomes large and the resources get limited.
Before giving specific applications, we note that the exponential function \(y=c\cdot b^x\) is uniquely determined by providing any two of its function values. Example \(\PageIndex{1}\) Let \(f(x)=c\cdot b^x\) .
