Question

formula of doubling time of exponential growth is​

Answer 1

Answer:

Exponential growth :

Exponential growth is a pattern of data that shows greater increases with passing time, creating the curve of an exponential function.

Formula for Exponential growth :

$\huge\boxed{{f(x) = a {(1 + r)}^{x}}}$

$f(x) =$exponential growth function

$a =$initial amount

$r =$growth rate

$x =$number of time intervals

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Answer 2

Answer:

Using the Rule of 70, we can calculate the period of exponential growth for a population.

d = 70 / n

d = doubling time

n = number of years

Step-by-step explanation:

Exponential growth:

• An exponential method's curve is created by a pattern of data called exponential growth, which exhibits higher increases over time.

Doubling time:

The amount of time needed for a population to double when it experiences exponential growth is known as the doubling time.

The amount of time required for the function to double in size.

Using the Rule of 70, we can calculate the period of exponential growth for a population.

Formula for calculating the doubling time for exponential growth is:

d = 70 / n

d = doubling time

n = number of years

Even if the rate of increase may vary in exponential growth, it is still exponential!

It is crucial to remember that the average yearly growth rate is calculated by taking the natural logarithm of the ratio of the final value to the initial value and dividing it by the time period in years.

Final answer:

Exponential growth is the process through which a quantity increases by a constant proportion from one year to the next.

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