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.
look in your textbook
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
The three different growth patterns of bacteria are exponential growth, lag phase, and stationary phase. Exponential growth is the rapid phase of growth where bacteria multiply quickly. Lag phase is a period of adaptation where bacteria prepare to divide. Stationary phase is when growth slows down due to limited resources or build-up of waste products.
implementation of exponential groth
The three growth patterns of bacteria are exponential growth, stationary phase, and death phase. Exponential growth is when bacteria multiply rapidly, stationary phase is when growth rate equals death rate, and death phase is when bacteria start dying off due to nutrient depletion or waste accumulation.
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.
When individuals in a population reproduce at a constant rate, it is called an exponential growth. Populations generally experience this growth under ideal conditions.
Exponential growth is when the amount of something is increasing, and exponential decay is when the amount of something is decreasing.