Linear System Flyer School Project

By: Ramya Vyas

Cookies Hotel vs Puppy Paws Hotel

The James family is going on vacation for 2 weeks. Their dog Sweetie needs a place to stay. All the family members start looking for places Sweetie can stay. They all decide to choose either Cookies Hotel or Puppy Paws Hotel. They did a bit of research to which one is better. Here is their solution.



Cookies Hotel offers a flat rate of $30 plus $4 for every day your dog stays.

Puppy Paws Hotel offers a flat rate of $25 plus $5 for every day your dog stays.


Let's make two equations:


Cookies Hotel: C = 4x + 30

Puppy Paws Hotel: C = 5x + 25


The x's in the equations represent how many days the dogs stay at each of the hotels and C represents the total cost.


If you want to see where the POI ( Where the two costs are the same) there is a very simple way!!!


4x + 30 = 5x + 25

30 = 5x = 4x + 25

30 - 25 = x

5 = x


This means that when a dog stays for 5 days at each Hotel the cost will be the same.


Table: Cookies Hotel


# of days Cost

0 $30

1 $34

2 $38

3 $42

4 $46

5 $50


Table: Puppy Paws Hotel


# of days Cost

0 $25

1 $30

2 $35

3 $40

4 $45

5 $50

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Concluding Statement

Until the POI which is 5 days Puppy Paws Hotel is better because they cost less. Whereas after the POI Cookies Hotel is better.