World population is approximately P=6.4(1.0126) t , with P in billions and t in

Question

World population is approximately P=6.4(1.0126)t, with P in billions and t in years since 2004.

(a) What is the yearly percent rate of growth of the world population?

The percent rate of growth is Entry field with correct answer ( ) per year.

(b) What was the world population in 2004?

The world population in 2004 was Entry field with correct answer ( ) billion people.

What does this model predict for the world population in 2026?

Round your answer to two decimal places! ! !

The predicted world population in the year 2026 is Entry field with correct answer is ( ) billion people.

(c) Use part (b) to find the average rate of change of the world population between 2004 and 2026.

Round your answer to the nearest integer.

The average rate of change of the world population between 2004 and 2026 is about ( ) million people per year.

Explanation / Answer

Given:   P=6.4(1.0126)t

(a)   The yearly percent rate of growth of the world population is :

r = 1.0126 - 1

= 0.0126

= 1.26%

(b) The world population in 2004 is: 6.4(1.0126)

= 6.481 billion people.

   model predict for the world population in 2026 is:

p(22) =   6.4(1.0126)22 = 8.4297 billion people

(c) the average rate of change of the world population between 2004 and 2026

Let t = 2026

Let t1 = 2004

t - t1 = 2026 - 2004 = 22

Therefore,

P = 6.4(1.0126)22

P = 8.4297 billion people

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