the world population was 6.9 billion at the end of 2010 and is predicted to reach 9 billion by the end of 2050.1 (a) assuming the population is growing exponentially, what is the continuous growth rate per year? round your answer to three decimal places.

Exponential growth occurs when the growth of a quantity at any point in time has been proportional towards its value at that point.
If we have a few numbers, we could use simple exponential growth models to determine the population.

We've been told to assume that population is growing at an exponential rate. As a result, we can employ the population model shown below.

N(t) = N₀ e∧(kt)

Here, N(t) represents the population after t years, N₀ represents the initial population, and k represents the continuous growth rate.

We've been told that initial population of 6.9 billion will increase to 9 billion in 40 years (2050-2010).

To use this information, we calculate the growth rate using the model described below.

N(40) = 6.9 e∧(40k)

N(40) = 9 (given)

9 = 6.9 e∧(40k)

Taking ㏑ both side

㏑ 9 = ㏑ 6.9 e∧(40k)

40k = ㏑(9/6.9)

k = 0.00664

k = 0.664%

Thus, the continuous growth rate per year of the world population is 0.664%.

To know more about the Exponential Growth, here

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