1. The starting cost to get into a Yellow Cab is $2.50.
2. The cost per mile for a Yellow Cab is $1.50.
3. The equation that relates the cost to the miles traveled is y = 1.50x + 2.50.
1. The cost to start a journey with a Yellow Cab is $2.50, establishing the baseline fare irrespective of distance traveled. This initial cost, represented by the constant term in the equation, sets the starting point on the graph where x (miles traveled) is zero.
2. For every mile traveled, there's an added cost of $1.50. This cost per mile forms the slope of the equation, indicating how the cost increases as the distance traveled (x) increases. In the equation y = 1.50x + 2.50, the coefficient of x (1.50) represents this incremental cost for each mile.
3. This linear equation, y = 1.50x + 2.50, symbolizes the relationship between the cost (y) and the miles traveled (x) for a Yellow Cab ride. As the number of miles traveled increases (x), the total cost (y) rises at a constant rate of $1.50 per mile, starting from the initial fare of $2.50. The equation's slope and intercept values precisely define the cab's pricing structure, allowing passengers to estimate their fare based on the distance traveled.
Question:
You are on vacation in Los Angeles, and you need to get around town to different locations. Below are the rates for 2 different cab companies, locally dubbed "The Yellow Cabs" and "The Blue Cabs". Please answer the following questions about this graph.
1 .What is the starting cost to get into a Yellow Cab?
2. How much does it cost per mile for a Yellow Cab?
3. What is the equation, in slope-intercept form, that relates the cost compared to the miles traveled for a Yellow Cab?