Question

The population of a region is growing exponentially. There were 35 million people in 1980 (when t=0) and 70 million people in 1990.

Find an exponential model for the population (in millions of people) at any time t, in years after 1980. P(t)=

What population do you predict for the year 2000? Predicted population in the year 2000 = million people.

What is the doubling time? Doubling time = years.

Answer #1

The population of a region is growing exponentially. There were
20 million people in 1980 (when t=0) and 70 million people in 1990.
Find an exponential model for the population (in millions of
people) at any time tt, in years after 1980.
P(t)=
What population do you predict for the year 2000?
Predicted population in the year 2000 = million people.
What is the doubling time?
Doubling time = years.

The population of a country is growing exponentially. The
population in millions was 90 in 1970 and 140 in 1980.
A. What is the population t years after 1970?
B. How long does it take the population to double?
C. When will the population be 400 million?

The U.S. census lists the population of the United States as 227
million in 1980, 249 million in 1990, and 281 million in 2000. Fit
a second-degree polynomial passing through these three points and
use it to predict the population in 2014 and in 2018.† (Round your
answers to the nearest million.)
STEP 1:
Let x represent the
year. Write a polynomial in t where t =
x – 1990.
p(t) =
STEP 2:
Substitute the appropriate
values of t...

Two cities each have a population of 1.2 million people. City A
is growing by a factor of 1.13 every 10 years, while city B is
decaying by a factor of 0.84 every 10 years.
a. Write an exponential function for each
city′s population and after t years.
PA(t) =
Edit
millions
PB(t) =
Edit
millions
b. Generate a table of values for t =
0 to t = 50, using 10-year intervals, then sketch a graph
of each town's...

The population of a country on January 1, 2000, is 16.8 million
and on January 1, 2010, it has risen to 18 million. Write a
function of the form P(t) = P0e rt to model the population P(t) (in
millions) t years after January 1, 2000. Then use the model to
predict the population of the country on January 1, 2016. round to
the nearest hundred thousand.
A) P = 16.8e0.00690t; 86.5 million
B) P = 16.8e0.00690t; 18.8 million
C)...

The population of the world was about 5.3 billion in 1990 (t =
0) and about 6.1 billion in 2000 (t = 10). Assuming that the
carrying capacity for the world population is 50 billion, the
logistic differential equation
dP =kP(50−P)dt
models the population of the world P(t) (measured in billions),
where t is the number of years after 1990. Solve this differential
equation for P(t) and use this solution to predict what the
population will be in 2050 according...

Requirement 1a.
A.
In 2000, the population of a country was approximately 5.63
million and by 2060 it is projected to grow to
11 million. Use the exponential growth model
A=A0 ekt
in which t is the number of years after 2000 and A0
is in millions, to find an exponential growth function that models
the data.
B.
By which year will the population be 7 million?
Requirement 1b.
The exponential models describe the population of
the indicated country, A,...

Assume the world population will continue to grow exponentially
with a growth constant k=0.0132k=0.0132 (corresponding to a
doubling time of about 52 years),
it takes 1212 acre of land to supply food for one person, and
there are 13,500,000 square miles of arable land in in the
world.
How long will it be before the world reaches the maximum
population? Note: There were 6.06 billion people in the year 2000
and 1 square mile is 640 acres.
Answer: The maximum...

The number of asthma sufferers in the world was about 83 million
in 1990 and has been increasing over the years at an approximate
rate of 7% per year. Let N represent the number of asthma
sufferers, in millions, worldwide t years after 1990.
a) what is the yearly growth or decay factor. (answer complete
sentence)
b) write an exponential model to represent the number of asthma
sufferers worldwide, N(t), in millions, as a function of t years
since 1990....

According to the United States Census Bureau the population of
Utah was 2.12 million people in 1997 and 2.53 million people 9
years later in 2006. Use an explicit exponential model to calculate
the rate of growth of the population over this time period. Express
the rate of growth as a percentage. Round to the nearest
hundredth.
r=

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