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)

Question

Mathematics

Brodie Hancock

24 March, 10:42

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)

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Answers (1)

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Avery Chang · Answer 1

Answer: 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