math

ATTACHED FILE(S)
Math 1613 Homework #11
Name:
1. The level of contamination in a certain lake is
f(p) =

p parts per million
when the population of the surrounding community is p people. The population of the surrounding
community in year t is modeled as
p(t) − 400t2 + 2500 people
where t is the number of years since 2000. Write a single model that gives the level of contamination in
year t.
2. Party Fun, Inc. manufactures and sells inflatable bounce toys of the type used at events such as festivals
and children’s parties. The total cost to produce x moonwalk castles in a year is modeled as
C(x) = 600x + 90000 dollars.
The revenue from the sale of x moonwalk castles is modeled as
R(x) = 1800x dollars.
Write a single model that gives the profit from producing and selling x moonwalk castles.
3. A movie theater charges $9 for adults and $7 for seniors. On a particular day when 331 people paid
an admission, the total receipts were $2517. Find how many of each type of ticket was sold. Use the
substitution method.
Wells 1613 Mini Project 6 Name:
Directions: For this 6th project, I want you to use your knowledge of rational models to answer questions
about the provided model. You will submit your work through Blackboard.
1. Queuing theory (also known as waiting-line theory) investigates the problem of providing adequate
service economically to customers waiting in line.
Suppose that at a certain fast food restaurant customers arrive at the rate of 9 people per hour. Then
we can model the average time (in hours) that a customer will wait in line before being served as
f(x) =
9
x(x − 9)
hours,
where x is the average number of people served per hour. (Note: 9 people arrive each hour, x people
are served each hour)
(a) Find f(15).
(b) Interpret your answer for part a in the context of this problem.
(c) Find f(7).
(d) Why is the function meaningless if the average number of people served per hour is less than 9?
(e) Suppose that once they have reached the front of the line the average time to serve a customer is 5
minutes. How many customers can be served in an hour? How many minutes will a customer have
to wait in line on average?
(f) Use Desmos to graph the function. Adjust the viewing window. Save your Desmos graph.
(g) What is the equation of the vertical asymptote?
(h) What is the equation of the horizontal asymptote?
(i) Suppose that the average wait time is 7.5 minutes (1/8 hour). How many customers are served per
hour on average?
2. Submit your answers on Blackboard as a Word document and your Desmos graph.

Place your order
(550 words)

Approximate price: $22

Calculate the price of your order

550 words
We'll send you the first draft for approval by September 11, 2018 at 10:52 AM
Total price:
$26
The price is based on these factors:
Academic level
Number of pages
Urgency
Basic features
  • Free title page and bibliography
  • Unlimited revisions
  • Plagiarism-free guarantee
  • Money-back guarantee
  • 24/7 support
On-demand options
  • Writer’s samples
  • Part-by-part delivery
  • Overnight delivery
  • Copies of used sources
  • Expert Proofreading
Paper format
  • 275 words per page
  • 12 pt Arial/Times New Roman
  • Double line spacing
  • Any citation style (APA, MLA, Chicago/Turabian, Harvard)

Our guarantees

Delivering a high-quality product at a reasonable price is not enough anymore.
That’s why we have developed 5 beneficial guarantees that will make your experience with our service enjoyable, easy, and safe.

Money-back guarantee

You have to be 100% sure of the quality of your product to give a money-back guarantee. This describes us perfectly. Make sure that this guarantee is totally transparent.

Read more

Zero-plagiarism guarantee

Each paper is composed from scratch, according to your instructions. It is then checked by our plagiarism-detection software. There is no gap where plagiarism could squeeze in.

Read more

Free-revision policy

Thanks to our free revisions, there is no way for you to be unsatisfied. We will work on your paper until you are completely happy with the result.

Read more

Privacy policy

Your email is safe, as we store it according to international data protection rules. Your bank details are secure, as we use only reliable payment systems.

Read more

Fair-cooperation guarantee

By sending us your money, you buy the service we provide. Check out our terms and conditions if you prefer business talks to be laid out in official language.

Read more