Kitty’s Kennel Costs Due Friday April 13 - Summative

The Lees and their children are planning to take an extended holiday. They may be away for 4 to 6 weeks. They need to board their cat, Kitty, while they are on holiday. They want to spend the least amount of money possible.

The Lees have researched the costs of local kennels and have clipped the following ads from their local newspaper.

Your job is to:

  • make a recommendation to the Lees about where they should board their cat and support your answer with evidence;
  • show the Lees how to analyse their situation and decide which kennel meets their requirements;
  • explain your process to them so that if they change their minds later and want to use a different kennel or change the length of their holiday they understand how to do the calculations themselves.

Your report must include:

  • reasons for excluding any of the advertisements;
  • your best guess (hypothesis) based on the information given in the advertisements before examining the data thoroughly;
  • the procedures that you used to compare the information in the advertisements (including how you made use of technology);
  • recommendations to the Lees about where they should board their cat and evidence to support your answer.

Kitty’s Kennel Costs(continued)

(A) Clarify the Problem

Examine the advertisements and list any important information.

Is there any information you do not need?

Make a hypothesis about which kennel you feel is the best choice for the Lees. Briefly explain your reasoning.

(B) Create Models

Write an equation for each advertisement that is appropriate to investigate.

Define the variables.

____represents the cost ______of boarding

____represents the number of ______

days or weeks

Rewrite each of the equations in y = x+ form for inputting into the graphing calculator.

Cozy Kennel / Feline Holidays / Pet Paradise / Bow Wow Weekend
Equation
Graphing Calculator Equation

Create a graphical model for each of the kennels that is appropriate for their cat.

Show all graphs on the same grid and label them clearly.

Reproduce the graph you see on the graphing calculator below.

Indicate the window you used.

You may need to zoom in using different windows to see the information you need.

Kitty’s Kennel Costs(continued)

(C) Manipulate the Model

If the Lees decide to take a 4, 5, or 6 week holiday, list the kennel costs:
Hint: Use the TRACE feature on your calculator.

Number of Weeks / Cozy Kennel / Feline Holidays / Pet Paradise / Bow Wow Weekend
4
5
6

Explain where Kitty should stay if the Lees are going away for:

(a) 4 weeks

(b) 5 weeks

(c) 6 weeks

You see an advertisement for a new kennel in their neighbourhood. It charges $50 for an initial flea check and treatment, plus $10/day.

Should they consider this new kennel or reject it? Give reasons for your answer that demonstrates your understanding of the effects of changes in rates in initial conditions.

(D) Reconsider the Original Problem

Where do you think the Lees should board their cat? Explain your reasoning.

(E) Communicate the Ideas

Write your report.