The world population in 2016 was estimated to be 7.4 billion people, and it is increasing by about 1.1% per year. Assume that this percentage growth rate remains constant through 2030. Explain why the population is an exponential function of time. What would you expect the world population to be in 2030 (in billions of people)

The expected population in 2030 is 8.62 billion people.

An exponential function is a function that is represented with: f(x) = . x is a variable and a is the base. Exponential growth is when the rate of growth increases with time.

In order to determine the population in 2030, use this equation:

f(x) =

a = population in 2016 = 7.4 billion people

t = time = 2030 - 2016 = 14

r = 1.1%

7.4 = 8.62 billion

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you expect the world population to be 8624777459 billions of people in 2030.

Step-by-step explanation:

it is increasing by about 1.1% per year. If it remains constant, then the growth rate is exponential. The population is an exponential function of time because it is dependent on time. We would apply the formula for exponential growth which is expressed as

A = P(1 + r)^t

Where

A represents the population after t years.

t represents the number of years.

P represents the initial population.

r represents rate of growth.

From the information given,

P = 7.4 × 10^9

r = 1.1% = 1.1/100 = 0.011

t = 2030 - 2016 = 14 years

Therefore

A = 7.4 × 10^9(1 + 0.011)^14

A = 7.4 × 10^9(1.011)^14

A = 8624777459

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step-by-step explanation:

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