Question

A country's population in 1991 was 147 million. In 1998 it was 153 million. Estimate the population in 2017 using the exponential growth formula. Round your answer to the nearest million. P=Ae^kt This is exponential growth

Answer 1

Answer:its 169 million on plato. i just took the test and got it right

Step-by-step explanation:

Answer 2

Using the exponential growth formula, the population in 2017 is 171 million.

What is the exponential growth of population?

The exponential growth of population can be defined as:

P = A$e^{kt}$

Where, P = population after 't' years.

A = Current population

k = rate of growth of population

t = time period

Here, population in 1998 was 153 million and in 1991 was 147 million.

Therefore, 153 = 147 × $e^{7k}$

⇒ $e^{7k}$ = (153 / 147)

⇒ k = [ln (153 / 147)] / 7

⇒ k = 0.04 / 7

⇒ k = 0.00571

Now, the time period in between 1991 and 2017 is (t)

= (2017 - 1991) years

= 26 years

The rate of growth of population (k) = 0.00571

Now, k × t = 0.00571 × 26 = 0.149

Therefore, population of the country in 2017 is (P)

= 147 × $e^{0.149}$

= 170.62

≈ 171

Learn more about the exponential growth of population here: https://brainly.com/question/11907966

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