Support phones:
homeReloadContact Us
Home About Us Our Guarantees Beware Our Prices Discounts Order Now Blog FAQ Testimonials Sample essays Contact Us
main menu
About Us
Our Guarantees
How it works
Our Prices
Order Now
Testimonials (1034)
Sample essays
Contact Us
you save
Type of assignment:
Writer level:
Cost per page:
Total without discount:
sample essays
Analytical Essays
Application Essays
Architecture Essays
Argument Essays
Argumentative Essays
Art Essays
Business Essays
Case Studies Essays
Communication and Media Essays
Comparison Essays
Computer Technologies Essays
Controversial Essays
Critical Essays
Definition Essays
Economics Essays
Education Essays
Geography Essays
History Essays
Justice Essays
Law Essays
Life Essays
Literature Essays
Marketing Essays
Medicine Essays
Nursing Essays
Personal Essays
Philosophy Essays
Political science Essays
Politics Essays
Psychology Essays
Religion Essays
Sociology Essays
Technology Essays
Term Papers Essays
World Literature Essays

← Appeal LetterTime Management →
Live Chat

Custom Exponential Functions essay paper sample

Buy custom Exponential Functions essay paper cheap


Suppose that the number of new homes built, H, in a city over a period of time, t, is graphed on a rectangular coordinate system where time is on the horizontal axis. Suppose that the number of homes built can be modeled by an exponential function, H= p * at, (H = p*a^t) where p is the number of new homes built in the first year recorded, and t is the number of years. You are going to decide if you would like to be a homebuilder in this market.

  1. Step 1 is to choose a value for “p” between 100 and 200; this is the initial number of homes built.
  2. Step 2 is to choose a value for “a”; this is the growth factor – you can choose “a” to be any number between 0 and 1 “OR” choose “a” to be any number greater than 1.

NB: Do not choose 0 or 1, as these are trivial cases.

1)      Insert the chosen values for “p” and “a” into the formula listed above.

2)      Use the formula to find the number of homes built, H, at any three values of time, t, in years that you want.

3)      Show your calculations and put units on your final answer!

4)      Provide a written summary of your results explaining them in the context of the original problem. If you were a homebuilder, would you be interested in continuing to build homes in this market over the long run? Explain why or why


Take the initial value of “p” to be 125 in this market which is gradually turning to be a commercial center. Now, the growth rate, “a” is determined by a number of factors (Stapel, 2010). In a depreciating economy, the value of ‘a’ is expected to be less than one. In this case, the value of ‘a’ will be taken as 1.1.


H = p * abut p = 125 and a = 1.1

Hence H = 125 *1.1t  . Taking the values of t as 5, 10, 20 years, and inserting them into the expression, the results are as tabulated below.

Time, t (years)





No. of houses, H





Results Summary

A mathematical projection on the trend of home building is a factor of a number of variables which when combined together in an equal proportion will determine the growth rate (Goldstein & Schneider, 2006). The growth rate in whatever case can either be a value between 0 and 1 indicating of a decreasing trend in what is being anticipated or have a value above 1 indicative of an increasing trend.

These kinds of projections are founded on exponentially varying factors as time goes by. In this research, the number of houses built, H over a period of time, t is entirely depended on other factors which cannot be put in this expression; otherwise it would become too complex. These other factors are summarized with the use of the value “a” herein referred to as the growth rate.

Decision Making

Such mathematical models as in this case are very useful while making decision on the feasibility of any project (Stapel, 2010). Looking at the trend followed in this case, I would confidently settle on this project of a home building. This is due to the reason that the factors summarized by the value “a” are apparently favorable for its success.

Buy custom Exponential Functions essay paper cheap

Buy essayHesitating

Related essays

  1. Time Management
  2. Co-educators
  3. Appeal Letter
  4. Student Leadership
order now
chat off
our advantages
300 Words per page
12 pt Times New Roman double-spaced
MBA and PhD Writers
Relevant and up-to-date sources
US Writers
100% Confidentiality Guarantee
24/7 Support
24/7 Live Chat
Direct Contact with Writer
Flexible Discount Program
ANY Difficulty Level!
current status
1 chat / phone operators online at the moment
951 writers active
19457 writers in the database
3 new writers passed exam this week
20268 pages written
6332737 words written
8.5 out of 10 current average quality score
97% satisfied customers
current status
Blog categories
Academic Assistance
Analysis Essay
College Essay
Student's Life
Writing an Essay
Writing Helper
current status
Latest posts
Four Surprising Meanings of the Word ‘Bachelor’
4 Ways to Train both Reading and Writing at the Same Time
How to Write a Classification Essay Well?
Basic Essay Types All Students Must Know
How to Take Control over Your Life
current status

  • Paypal



off your first

custom essay order.

Order now

from $12.99/PAGE