To write an exponential model by hand without Excel we need to know two things: the yearly growth or decay rate and the starting value. Look on the given website under the "Growth Rate" (see photo) heading to find the current growth rate of the world's population. Note that this is the growth rate r, and you will need to convert it from a percentage to a decimal before you use it in your model.Since the population in the year 1800 was just under 1 billion, use 1 as your starting population (in billions) in 1800.A by-hand exponential model for the world population would beP(t)= _____ ( _____ + ______ ) _____ where t is years since 1800 and P is the population in billions. Growth RateYearly Population Growth Rate (%)Yearly Growth Rate (%)2.22.0back to top ↑1.81.61.41.21.0195119551959Population in the world is currently (2020) growing at a rate of around 1.05% per year (down from 1.08% in 2019, 1.10% in 2018, and 1.12% in 2017).196319671971The current average population increase is estimated at 81 million people per year.197519791983Annual growth rate reached its peak in the late 1960s, when it was at around 2%. The rate of increase has nearly halved since then, and will continue19871991Yearly Growth Rate (%)1995to decline in the coming years.1999200320072011World population will therefore continue to grow in the 21st century, but at a much slower rate compared to the recent past. World population has20152019doubled (100% increase) in 40 years from 1959 (3 billion) to 1999 (6 billion). It is now estimated that it will take another nearly 40 years to increase byanother 50% to become 9 billion by 2037.The latest world population projections indicate that world population will reach 10 billion persons in the year 2057.

The general exponential growth form is P(t) = a(1+r)t, where t is the number of years, r is the…

Answered: To write an exponential model by hand…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Related questions

Question

To write an exponential model by hand without Excel we need to know two things: the yearly growth or decay rate and the starting value.

Look on the given website under the "Growth Rate" (see photo) heading to find the current growth rate of the world's population. Note that this is the growth rate r, and you will need to convert it from a percentage to a decimal before you use it in your model.

Since the population in the year 1800 was just under 1 billion, use 1 as your starting population (in billions) in 1800.

A by-hand exponential model for the world population would be

P(t)= _____ ( _____ + ______ )^_____where t is years since 1800 and P is the population in billions.