# What is the exponential growth and decay formula?

• Exponential Decay:

Remember that the original exponential formula was y = abx. You will notice that in these new growth and decay functions, the b value (growth factor) has been replaced either by (1 r) or by (1 - r). The growth rate (r) is determined as b = 1 r.

• To calculate exponential growth, use the formula y(t) = a__ekt, where a is the value at the start, k is the rate of growth or decay, t is time and y(t) is the populations value at time t.

Additionally, how do I calculate growth rate? To calculate growth rate, start by subtracting the past value from the current value. Then, divide that number by the past value. Finally, multiply your answer by 100 to express it as a percentage. For example, if the value of your company was and now its , first youd subtract 100 from 200 and get 100.

Accordingly, what is an example of exponential decay?

Examples of exponential decay are radioactive decay and population decrease. The half-life of a given substance is the time required for half of that substance to decay or disintegrate.

What is the formula for population growth?

Net reproductive rate (r) is calculated as: r = (births-deaths)/population size or to get in percentage terms, just multiply by 100. the population is so much bigger, many more individuals are added. If a population grows by a constant percentage per year, this eventually adds up to what we call exponential growth.

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