# Algebra

posted by .

Wk 6
Sec 12.7 #24
World population growth
In 2008 the world population was 6.7 billion and the exponential growth rate was 1.14% per year.
A.Find the exponential growth function
B.Predict the world’s population in 2014
C.When will the world’s population be 8.0 billion?

Could someone help me with this please?

• Algebra -

Growth function:
Assume Y=year, so Y=2008 is year 2008, etc.

The exponential growth function is
N(Y)=N(2008)*1.0114^(Y-2008) for Y≥2008
or
N(Y)=(6.7*10^9)*1.0114(Y-2008)
for Y≥2008

Population at 2014 is therefore
N(2014)=(6.7*10^9)*1.0114(2014-2008)
=7.17*10^9

The population will reach 8 billion when
N(Y)=8*10^9
or
(6.7*10^9)*1.0114(Y-2008) = 8*10^9
1.0114(Y-2008)=8/6.7
Take log on each side and solve for Y:
Y-2008=log(8/6.7)/log(1.0114)=15.6 years
So by the middle of 2023, the world population will reach 8 billions.

## Respond to this Question

 First Name School Subject Your Answer

## Similar Questions

1. ### POPULATION

If a population consists of 10,000 individuals at time t=0 years (P0), and the annual growth rate (excess of births over deaths) is 3% (GR), what will the population be after 1, 15 and 100 years (n)?
2. ### algebra

In 1998, the population of a given country was 37 million, and the exponential growth rate was 5% per year. Find the exponential growth function
3. ### college algebra HELP

The population of a city was 166 thousand at the begining of 2004. The exponential growth rate was 1.5% per year. Use the formula P(t)=P[o]e^(kt) where P[o] is the population in 2004 and k is the exponential growth rate. a) predict …
4. ### Math

he world population at the beginning of 1990 was 5.3 billion. Assume that the population continues to grow at the rate of approximately 2%/year and find the function Q(t) that expresses the world population (in billions) as a function …
5. ### environmental science

Explain the main point concerning exponential growth and whether it is good or bad. Compare exponential growth to a logistic growth curve and explain how these might apply to human population growth. What promotes exponential growth?
6. ### maths

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.
7. ### Applied Calculus

The world population at the beginning of 1990 was 5.3 billion. Assume that the population continues to grow at the rate of approximately 2%/year and find the function Q(t) that expresses the world population (in billions) as a function …
8. ### Uninhibited Growth

In 1992, Chad and Denmark each had a population of about 5.2 million. However, the relative growth rate for Chad was 2.5% per year, which Denmark was 0.1% per year. a. assuming exponential growth and the given growth rate, make projections …
9. ### maths

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 1991.
10. ### Math

Assume the carrying capacity of the earth is 9 billion. Use the 1960s peak annual growth rate of 2.1​% and population of 3 billion to predict the base growth rate and current growth rate with a logistic model. Assume a current population …

More Similar Questions

Post a New Question