A fair race between an ostrich and a lion would be a race of 200 meters. The ostrich would have to travel 200 meters and the lion would have to travel 160 meters. This would give the ostrich and the lion an equal chance of winning the race if they both ran at their top speed.
The system of linear equations to model the fair race would be:
Ostrich: x = 40t
Lion: y = 50t
Where x is the distance the ostrich travels and y is the distance the lion travels, and t is the time it takes for each animal to complete the race.
The graph of the system of linear equations would be two lines that intersect at the point (200, 160). This graph proves that the race is fair because it shows that the two animals will reach the finish line at the same time if they both run at their top speed.
1. Choose two animals with different speeds. You can choose from the chart that starts at the bottom of this page or do research to choose your own.
2. Design a fair race in which the two animals have an equal chance of winning if they race at their top speed. Here are a few tips for your design:
a. The race is fair if the two animals could finish the race in the same amount of time.
b. You can give the slower animal a shorter distance to race.
c. Since this is a video game, the race does not need to be realistic—it can be any length, and the animals can run at a constant speed.
3. Write a system of two linear equations showing the distance each animal can travel to model the fair race. Be sure to define all variables.
4. Graph the system to prove that the two animals have an equal chance of winning the race. Explain how the graph proves the race is fair.
I am not going to put the graph since I picked my animals,
Ostrich- 40 mph
Lion- 50 mph
1 answer
1 answer