Can I please get some help. Thank you The population of the world in 1987 was 5 billion, and the annual growth rate was estimated at 2 percent per year. Assuming that the world population follows an exponential growth model, find the projected world population in 2015. The population of the world in 1987 was 5 billion and the annual growth rate was estimated at 2 percent per year. Assuming that the world population follows an exponential growth model, find the projected world population in 2015.This text poses a mathematical problem about estimating world population growth using an exponential model. It provides the initial population in 1987 and the annual growth rate, and then asks for the projected population in the year 2015. This problem can be solved using the exponential growth formula:\[ P(t) = P_0 \times e^{rt} \]Where:- \( P(t) \) is the population at time \( t \)- \( P_0 \) is the initial population- \( r \) is the growth rate- \( t \) is the time in years since the initial timeThe task requires finding \( P(t) \) for \( t = 2015 - 1987 = 28 \) years.

Name: Can I please get some help. Thank you The population of the world in 1
Uploaded: 2024-03-20T07:06:27.000Z
Channel: Bartleby
Description: Can I please get some help. Thank you The population of the world in 1987 was 5 billion, and the annual growth rate was estimated at 2 percent per year. Assuming that the world population follows an exponential growth model, find the projected world

The exponential growth model is defined as, y = a(1 + r)t, where a is the initial amount, r is the rate and t is the time.According to the given information, the growth rate is 2% or 0.02; at initial year or 1987 the population was 5 billion. Hence, a = 5 billion, r = 0.02. The model is, P = 5(1.02)t. It can be represented in terms of exponential growth model as P = 5(1 + 0.02)t. In this case, t is the years since 1987. Hence, t = 0. If t = 0, corresponding to 1987, then t = 1 for 1988 and so on, t = 28, for 2030. Substitute t = 28, in the exponential growth model. That is, P = 5 (1 + 0.02)28 = 5(1.741024206) = 8.71. Thus, the predicted world population in the year 2015 is 8.71 billion people.