PLEASE HELP! THIS IS DUE TODAY! I'LL LITERALLY GIVE YOU ALL OF MY POINTS! The Tortoise and the hare finally have their long-awaited rematch. The Tortoise gets a 600-foot lead and runs at 6 inches per second. The Hare begins at the starting line and runs at a rate of 8 feet per second. There is also a rat in this race. The Rat starts at 1,300 feet ahead of the Hare and runs back towards the starting line at a rate of 3 feet per second.
Create a story about the race. The story should contain this information:
1. When will the Tortoise and the Hare pass each other and how far will they be from the starting line? 2. When will the Tortoise and the Rat pass each other and how far will they be from the starting line? 3. When will the Rat and the Hare pass each other and how far will they be from the starting line? 4. After one minute into the race, how far will each runner be? 5. When will the rat cross the finish line? 6. Use your imagination to explain why is there a at in the race running towards the starting line? 7. If the race is a quarter mile long, who will win, and what will be the margin of victory (both time and distance)?
The graph:
1. Equations for each of the runners, relating time (t) to distance from the starting line (d). 2. A graph of all three equations on the same coordinate plane, with a domain of
0≤t≤650 seconds, and a range of 0≤d≤1500 feet. 3. An equation and graph for both the one minute mark and the finish line.
The calculations:
Write equations for each of the runners, relating time (t) to distance from the starting line (d). Also include an equation for both the one minute mark and the finish line.