Bert’s cab company charges $1.00 plus an additional $3.00 per mile for a ride. Madeline’s cab company charges $3.00 plus an additional $2.00 per mile for a ride. Write a system of linear equations that shows the cost in dollars, y, for a cab ride of x miles for each cab drive At what distance, in miles, will the cost be the same for both companies? Show your work On the grid below, graph for each company the relationship between the number of miles driven and the cost in dollars to verify your answers. Be sure to label each line. Show Your Work Using your system of equations, which cab company’s charge will be less for a ride that is 10 miles in distance? Show Your Work Algebraically Compare the algebraic and graphic solutions of your system of equations. What do you notice? Could you also use your graph to answer the last question? Explain. I noticed that the algebraic and the graphic solutions were the . The point of intersection on the graph is the as the values when solved algebraically. This means that for the cost of will be the same for both companies. You can also use the graph to find the answer to the last question by looking to see which company will cost less for a ride at 10 miles by . The line that hits 10 miles first will cost .