UBER® is an American multinational online transportation network company. The fare for any trip and the different services that the company offers is calculated by adding base fare, time and distance. However, in certain cities, the company has a service called UberRUSH and it charges the client based on a base fare and a charge per mile. During daytime in New York City, UberRUSH has a base fare of $3.00plus $2.50per mile. Sergio just arrived into John F. Kennedy International Airport and he wants to determine a function for his transportation costs during the day using UberRUSH.

Part A: Write a linear function to describe the cost of using UberRUSH services during the day in New York City.

Part B: What is the rate of change for the cost of riding UberRUSH during the day in New York City and what does the rate of change represent?

Part C: What does the ࠵?-intercept represent in the cost function you wrote?

Part D:Represent the situation on the graph below.

A. Let x be the number of miles Sergio uses the taxi, then he will pay $2.50x for x miles plus a base fare of $3.00. In total, the cost of using UberRUSH services during the day in New York City is

[tex]C=3.00+2.50x[/tex]

B. The rate of change for the cost of riding UberRUSH during the day in New York City is the slope of the line represented by linear function in part A. So, the rate of change is 2.5 and it shows the change in price per 1 mile driven.

C. The y-intercept is 3.00 (or simply 3) and it represents the initial cost (when 0 miles are driven)

D. The graph of the function is shown in attached diagram. The diagram shows the part of the line starting from point (0,3). This is because the number of miles driven cannot be negative.