6/2/20 Solving Systems of Linear Equations by Graphing

Abba and Vaughn run at constant speeds. Vaughn can run 3 miles in 24 minutes. Abba can run 2 miles in 14 minutes. They decide to race each other but Abba is so sure she will win that she gives Vaughn a 0.25 mile head start. Write the linear equation that represents Vaughn's speed. Make sure to include in your equation the head start that Vaughn got. Write the linear equation that represents Abba's constant speed. Write the system of linear equations that represents this situation. Define your variables. Sketch the graphs of Abba and Vaughn during the race. If Abba and Vaughn raced for 3 miles, who would win? Abba Vaughn They will get there at the same time How do you know? At approximately what point do the graphs of the lines intersect? What does this represent? What was the station before that point? What was the situation after that point?