The population of the Earth is approximately 6 billion people and is growing at an annual rate of 1.9%. Assuming a Malthusian growth model, find the world population in 45 years. (Round your answer to one decimal place.)

According to my homework, and I just missed it but it gives me the correct answer this is 14.1 billion people.

Thank you so much!

To find the world population in 45 years using the Malthusian growth model, we need to use the formula:

P(t) = P_0 * e^(rt)

Where:
P(t) is the population at time t
P_0 is the initial population
e is Euler's number (approximately 2.71828)
r is the growth rate (1.9% expressed as decimal)

Given that the initial population (P_0) is 6 billion people and the growth rate (r) is 1.9%, we can calculate the world population in 45 years.

P(t) = 6 billion * e^(0.019 * 45)

Now let's calculate it step by step:

Step 1: Convert the growth rate to decimal form:
r = 1.9% = 0.019

Step 2: Calculate the exponential term:
e^(0.019 * 45) = e^(0.855)

Step 3: Multiply the initial population by the exponential term:
P(t) = 6 billion * e^(0.855)

Using a calculator or a programming language that supports exponential functions, we can evaluate the above expression:

P(t) ≈ 6 billion * 2.35281

Now, let's calculate the result:

P(t) ≈ 14.11686 billion

Rounding to one decimal place, the estimated world population in 45 years would be approximately 14.1 billion people.

P = 6 + 0.019 * 45 * 6,

P = 6 + 5.13 = 11.1 Billion.