Question 657693: Story:
You probably know the fable – The Tortoise and the Hare have a Foot Race. In our version of the story, we have more details about how the tortoise and the hare compete. The hare gives the tortoise a 1,000 foot lead. The tortoise runs at a rate of ¾ feet per second, while the hare runs at a rate of 4 feet per second beginning at the start line. There is another participant in the race, a rat. The rat is a little backwards and starts 1,200 feet ahead of the hare, but is running back towards the starting line at 2 feet per second. The finish line is at 1,320 feet.
Analysis:
1. Using the data in the story above, make a table in Excel to display the progress of the tortoise, hare, and rat. Your table should be clearly labeled, including units (times converted to seconds).
2. Make a scatter plot for your data. Use different colors to distinguish the tortoise, hare, and rat’s performances. Your scatter plot can be made by hand on graph paper, using a ruler to ensure an accurate scale, or you can use software such as Microsoft Excel.
3. Perform a linear regression on the data in your table. (Use your graphing calculator.) Write the regression equations for each participant in the race.
4. Solve the systems of equations using each of the following methods: matrix equations, substitution, elimination, and graphing. State the method’s name and briefly describe how it works. Then present the solutions to all three systems. What can you conclude? When does the rat pass the tortoise? When does the rat pass the hare? Does the hare pass the tortoise? What is the margin of victory for the winner of the race in time and distance.
Answer by solver91311(24713)   (Show Source):
You can put this solution on YOUR website!
This is a great deal more work than is typical for a single response here. I can do this for you and make it look very professional, but there is a cost. Write back if you are interested and I'll give you a quote.
John
My calculator said it, I believe it, that settles it
|
|
|
