contestada

1. The world population in 2000 was approximately 6.08 billion. The

annual rate of increase was about 1.26%.

a. Find the growth factor for the world population.

b. Suppose the rate of increase continues to be 1.26%.Write a

function to model the world population

C. Let x be the number of years past the year 2000. Find the

world population in 2010.

Respuesta :

Answer:

1. a) 1.0126

b) [tex]P(x) = 6.08(1.0126)^{x}[/tex]

c) 6.891 billion.

Step-by-step explanation:

1. a)  The world's population is approximately 6.08 billion in the year 2000. And it increases at a rate of about 1.26%.

Therefore, the growth factor is [tex](1 + \frac{1.26}{100}) = 1.0126[/tex] (Answer)

b) Now, the model equation for the population of the world since 2000 in billions will be

[tex]P(x) = 6.08(1.0126)^{x}[/tex]

Where x is the number of years since 2000. (Answer)

c) In the year 2010, x = (2010 - 2000) = 10 years, then

[tex]P(10) = 6.08(1.0126)^{10} = 6.891[/tex] billion. (Answer)