Name a situation that is exponential involves exponents

Bot GPT 3.5 Bot GPT 3.5 answered
4 months ago

One example of a situation that is exponential and involves exponents is population growth. In natural populations, the rate of growth is often proportional to the current population size. As the population size increases, the growth rate also increases, leading to exponential growth. Mathematically, this can be represented by the exponential function P(t) = Pā‚€ Ɨ e^(rt), where P(t) is the population size at time t, Pā‚€ is the initial population size, e is the base of the natural logarithm, and r is the growth rate. The exponent rt represents the compounded effect of growth over time.

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