The formula for exponential growth is: Nt = N0 x ert (see theintroduction). We c
ID: 75720 • Letter: T
Question
The formula for exponential growth is: Nt = N0 x ert (see theintroduction).We can re-order this formula as follows: t = (1/r)ln(N/N0). Thisallows us
to calculate how long (t) it would take a population of a givensize (N0) to
grow to a different size (N) at a specific growth rate (r). (Theabbreviation
ln stands for natural logarithm).
Do this for the following question.
Earth has 1.31 x 1014 m2 of dry land. How many years would it taketo
reach a population size in which each person would occupy onesquare
meter of land with the current growth rate? Use the formula:
t = (1/r)ln(N/N0)
where: r = 0.0114 (the current growth rate)
N = 1.31 x 1014 (one person for every square meter of dry land)
N0 = 6.5 x 109 (current population size)
How realistic is a population density of 1 person per square meterof dry
land? What do think would be a realistic number, and how muchtime
does it take to get to that population density given the currentgrowth
rate?
India has a very high population density. It forces people to liveclose
together. Some apartment buildings in India’s big citieshouse people at a
density of 1.5 people per square meter. How many people would livein
your house/apartment/room if the density was 1.5 people/m2?
Explanation / Answer
Earth has 1.31 x 1014 m2 of dry land. How many years would it taketo reach a population size in which each person would occupy onesquare meter of land with the current growth rate? Use theformula: t = (1/r)ln(N/N0) where: r = 0.0114 (the current growth rate) N = 1.31 x 1014 (one person for every square meter of dry land) N0 = 6.5 x 109 (current population size) t = (1/0.0114)*ln(1.31 e 14/ 6.5e9) = 869.4years How realistic is a population density of 1 person per square meterof dry land? What do think would be a realistic number, and how muchtime does it take to get to that population density given the currentgrowth rate? I person per square meter of dry land is unreasonable. Thisis about a 3ft X 3ft square per person. Say 15 m^2 is minimum requirement 1 person/15 m^2 * 1.31 x 10^14 m2 = 8.73e12 people t = (1/0.0114)*ln(8.73e12 / 6.5e9) = 631.8years India has a very high population density. It forces people to liveclose together. Some apartment buildings in India’s big citieshouse people at a density of 1.5 people per square meter. How many people would livein your house/apartment/room if the density was 1.5 people/m2? average is about 250 sq meters 1.5 people/m2 *(250 m2) = 375 people
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.