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Analyzing MTA Transit Fare Trends with Linear Mode

Project on modeling NYC MTA fare increases using algebra concepts like graphing, rate of change, and linear functions to predict future fare trends over a 2-week study period.

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    Project: Linear Modeling Mat 115:Prof. Mohammad Nizamuddin Project #1: 2-week period Introduction In this math 115 activity, we will be looking at how much the MTA transit fare has increased over time in New York City. The object is to use the data to create a straightfoiward mathematical model that can be used to generate some logical predictions. To accomplish this assignment, we will apply algebraic concepts like graphing, rate of change, and linear function. Price (Dollars) vs. Timeline (J.CO FrkC’iJDn sV- i j j j iL.bU — xim Tire rc I was surprised by the pattern based on the information in ±e scatter plot. It can be seen that the fare was initially 20 cents when the MTA transit program began in 1970. However, as it gained popularity over the following 10 years, the fare was raised to 30 cents, with a linear increase of 3 cents per year. But the next modifications took place over a period of 13 years, increasing by 0.25 cents over the following 12 years from 2009-2015, and ±e ultimate cost is $2.75 as of today which is shocking for me. Defining my variable: Let x, which stands for time in years, be the independent variable, and y, which stands for the fare in dollars, be the dependent variable. Average rate of change

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