IM Alg2.2.17 Lesson: Graphs of Rational Functions (Part 1)
Kiran’s aunt plans to bike 10 miles.
How long will it take if she bikes at an average rate of 8 miles per hour?
How long will it take if she bikes at an average rate of miles per hour?
Kiran wants to join his aunt, but he only has 45 minutes to exercise. What will their average rate need to be for him to finish on time?
What will their average rate need to be if they have hours to exercise?
Kiran plans to bike 10 miles.
Write an equation that gives his time , in hours, as a function of his rate , in miles per hour.
Graph y=t(r).
What is the meaning of ? Does this value make sense? Explain your reasoning.
What is the meaning of ? Does this value make sense? Explain your reasoning.
As gets closer and closer to 0, what does the behavior of the function tell you about the situation?
As gets larger and larger, what does the end behavior of the function tell you about the situation?
Match each rational function with its graphical representation.
Priya and Han are bicycling. Han is going at a rate of 10 mph and begins 2 miles ahead of Priya. If Priya bikes at a rate of mph, when will Priya pass Han?
Write an equation.
Sketch a graph.
Then interpret the graph in terms of the situation.