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Algebra class final project taxi cab company analysis





The project was an algebra class final project


Which company/city offers the better deal based on the number of miles traveled?
I intend on comparing using a systems of equations approach:

A NYC taxi cab company charges each person a flat fee of $5.00 plus an additional $.40 per quarter mile for its fare.

A Las Vegas taxi cab company charges each person a flat fee of $3.00 plus an additional $.60 per quarter mile for its fare.

Step 1: I will write a linear equation of the form y1=mx+b for the New York City taxi company. I will graph this equation on the xy-plane and label it as y1. I will be sure to include a title on the graph and labels on the x- and y-axes.
Step 2: I will write a linear equation of the form y2=mx+b for the Las Vegas taxi company. I will then graph this equation on the same graph. I will now have two lines on the same graph. These will intersect.
Step 3: I will find the point of intersection for y1 and y2 algebraically. I will show my work and also plot this point on the graph.
Step 4: I will analyze which company offers a cheaper deal on taxi fares and under what conditions and I will tell at which value they are the same?
Step 5: If I travel and average of 20 miles per day, in which city am I going to spend the least amount of money on taxi fare? What is the difference in price between the two companies' charges for 20 miles of travel?


About the Solutions
The solutions uses graphs and the creation of linear equations based on data of which the first part is reproduced below. The full solutions are available as downloads for you.


Analysis:
Since the NYC taxi cab company charges $.40 per quarter mile, it charges $1.60 per mile for its fare.
Let y1 be the total charge and let x be the distance travelled (in miles)
The linear equation will be y1 = 1.6x+5.

Similarly, since the Las Vegas taxi cab company charges $.60 per quarter mile, it charges $2.40 per mile for its fare.
Let y2 be the total charge and let x be the distance travelled (in miles)
The linear equation will be y2 = 2.4x+3.


Other Details about the Project/Assignment
Subjects: Mathematics ->Algebra
Topic: Algebra class final project taxi cab company analysis
Level: Algebra class final project
Tags:

Algebra, Class Project, Final, linear equations, graphs


Price$4.95
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Project Details
Subjects: Mathematics ->Algebra
Topic: Algebra class final project taxi cab company analysis
Level: Algebra class final project
Tags:

Algebra, Class Project, Final, linear equations, graphs


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