They are similar because the population increases over time in both cases, and also because you are using a mathematical model for a real-world process.
They are different because exponential growth can get dramatically big and bigger after a fairly short time. Linear growth keeps going up the same amount each time.
Exponential growth goes up by more each time, depending on what the amount (population) is at that time. Linear growth can start off bigger than exponential growth, but exponential growth will always win out.
They are incredibly different acceleration patterns. Exponential growth is unbounded, whereas exponential decay is bounded so as to form a "dynamic equilibrium." This is why exponential decay is so typical of natural processes. To see work I have done in explaining exponential decay, go to the page included in the related links.
Exponential functions increase for all values of x, Logistic growth patterns appear to increase exponentially however they eventually platou out on a maximum y value
implementation of exponential groth
Exponential growth goes infinitely up. Exponential decay goes infinitely over always getting closer to the x axis but never reaching it. ADDED: An exponential decay trace's flat-looking region has its own special name: an "asymptote".
Exponential Growth: occurs when the individuals in a population reproduce at a constant rate.Logistic Growth: occurs when a population's growth slows or stops following a period of exponential growth around a carrying capacity.
They are incredibly different acceleration patterns. Exponential growth is unbounded, whereas exponential decay is bounded so as to form a "dynamic equilibrium." This is why exponential decay is so typical of natural processes. To see work I have done in explaining exponential decay, go to the page included in the related links.
Exponential functions increase for all values of x, Logistic growth patterns appear to increase exponentially however they eventually platou out on a maximum y value
look in your textbook
implementation of exponential groth
Exponential growth does not have an origin: it occurs in various situations in nature. For example if the rate of growth in something depends on how big it is, then you have exponential growth.
Exponential growth goes infinitely up. Exponential decay goes infinitely over always getting closer to the x axis but never reaching it. ADDED: An exponential decay trace's flat-looking region has its own special name: an "asymptote".
Cubic Growth is x^a, a being some constant, while exponential growth is a^x. Exponential growth ends up growing MUCH faster than cubic growth.
Exponential Growth: occurs when the individuals in a population reproduce at a constant rate.Logistic Growth: occurs when a population's growth slows or stops following a period of exponential growth around a carrying capacity.
Logarithmic growth is the inverse of exponential growth. Exponential growth is a growth that occurs at a rate that is consistent and fast.
Exponential growth is when the amount of something is increasing, and exponential decay is when the amount of something is decreasing.
Reverend Thomas Malthus developed the concept of Exponential Growth (another name for this is Malthusian growth model.) However the mathematical Exponent function was already know, but not applied to population growth and growth constraints. Exponential Decay is a natural extension of Exponential Growth
when there is no competition When there are unlimited resources- Apex Exponential growth can happen anytime when the rate of the growth is increasing along with an increase in growth.