There once was a speedy hare who bragged about how fast he could run. Tired of...

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There once was a speedy hare who bragged about how fast he could run. Tired of hearing him boast, the tortoise, challenged him to a race. The race starts at 1pm. Hare ran down the road for 1 minute and then paused to rest. He looked back at the tortoise and cried out, "How do you expect to win this race when you are walking along at your slow, slow pace?" Hare stretched himself out alongside the road and fell asleep, thinking, "There is plenty of time to relax." The tortoise walked and walked. He never, ever stopped until he came to the finish line. The animals who were watching cheered so loudly for Tortoise, and they woke up Hare. Ah, it was already 5:58pm! The hare began to run again. Let the total distance from the starting point to the finishing line be 1.5 miles. Assume that the speeds of the hare and the tortoise are 20 mph and 0.3 mph respectively. Let f(x) and g(x) be the distances of the hare and the tortoise from the starting point, respectively. Express f(x) and g(x) as (possibly piecewise-defined) functions that model the situation. State the domain of each function. Who won the race? There once was a speedy hare who bragged about how fast he could run. Tired of hearing him boast, the tortoise, challenged him to a race. The race starts at 1pm. Hare ran down the road for 1 minute and then paused to rest. He looked back at the tortoise and cried out, "How do you expect to win this race when you are walking along at your slow, slow pace?" Hare stretched himself out alongside the road and fell asleep, thinking, "There is plenty of time to relax." The tortoise walked and walked. He never, ever stopped until he came to the finish line. The animals who were watching cheered so loudly for Tortoise, and they woke up Hare. Ah, it was already 5:58pm! The hare began to run again. Let the total distance from the starting point to the finishing line be 1.5 miles. Assume that the speeds of the hare and the tortoise are 20 mph and 0.3 mph respectively. Let f(x) and g(x) be the distances of the hare and the tortoise from the starting point, respectively. Express f(x) and g(x) as (possibly piecewise-defined) functions that model the situation. State the domain of each function. Who won the race?

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To model the situation we can define the functions fx and gx as follows fx represents the distance o... View the full answer