Question

a. Develop the model that represents the population of Chicago

b. predict the population in 2019

c. predict the population in 2024

d. predict when the population will be double its 2011 population

Relates to this question:

Exercise 5-12 deal with data from the U.S. Bureau of the Census on populations of major cities. These data allow us to find how fast the population is growing and when it will reach certain levels. Such calculations are very important, because they indicate the future needs of the population for goods and services and how well the area can support the population. The third largest city in the united states is Chicago. Its population in 2011 was 2,705 (in thousands); in 2012, it was 2715. a. convert this information to two ordered pairs (t,p), where t measures years since 2011 and p measures population in thousands. b. find △t, the change in time c. find △p, change in population d. find △p/△t, the average growth rate e. find (△p/△t)/p, the relative growth rate

http://www.chegg.com/homework-help/questions-and-answers/need-help-problem-chapter-101-problem-5e-textbook-mathematics-8th-edition-exercise-5-12-de-q26284229

Answer #1

(a)

Given population in 2011 is 2705 and in 2012 is 2715 , since there are only points we can assume the growth to be linear . Assume 2011 as t = 0 and 2012 as t = 1 ; The points are (0,2705) and (1,2715)

slope m = (p2 - p1)(t2-t1) = (2715-2705)/(1-0) = 10/1 = 10

Equation is : (p-p1) = m(t-t1) => (p - 2705) = m(t-0) =>
**p = 10t + 2705**

(b)

the year 2019 correspons to t = 2019 - 2011 = 8

p(8) = 10*8+2705 = 80+2705 = **2785**

c.

the year 2024 correspons to t = 2024 - 2011 = 13

p(8) = 13*10+2705 = 130 +2705 = **2835**

d. Given p(t) = 2*p(0) = 2*2705 = 5410

we have to find t ,

Now p(t) = 10*t+2705 = 5410 => 10t = 5410 - 2705 = 2705 =>
t = 2705/10 => **270.5 years**

This exercise deals with data from the U.S. Bureau of the Census
on populations of major cities.† These data allow us to find how
fast the population is growing and when it will reach certain
levels. Such calculations are very important, because they indicate
the future needs of the population for goods and services and how
well the area can support the population.
The third largest city in the United States is Chicago. Its
population in 2011 was 2,705 (in...

provide 3-4 paragraphs post (team 2)
1-What are 4 key things you learned about the topic from reading
their paper?
2-How does the topic relate to you and your current or past
job?
3-Critique the paper in terms of the organization and
quality.1-
Employee Stress and how it has an Adverse Effect on a
Company
This paper explores employee stress and how it has an adverse
effect on a company, its
employees and the organization. Job stress can have a...

MATHEMATICS
1. The measure of location which is the most likely to
be
influenced by extreme values in the data set is the a. range
b.
median c. mode d. mean
2. If two events are independent, then a. they must be
mutually
exclusive b. the sum of their probabilities must be equal to one
c.
their intersection must be zero d. None of these alternatives
is
correct. any value between 0 to 1
3. Two events, A and B,...

What tools could AA leaders have used to increase their
awareness of internal and external issues?
???ALASKA AIRLINES: NAVIGATING CHANGE
In the autumn of 2007, Alaska Airlines executives adjourned at
the end of a long and stressful day in the
midst of a multi-day strategic planning session. Most headed
outside to relax, unwind and enjoy a bonfire
on the shore of Semiahmoo Spit, outside the meeting venue in
Blaine, a seaport town in northwest
Washington state.
Meanwhile, several members of...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 2 minutes ago

asked 6 minutes ago

asked 14 minutes ago

asked 23 minutes ago

asked 28 minutes ago

asked 38 minutes ago

asked 56 minutes ago

asked 59 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago