Directions: Follow the instructions below to design a fair race for the new video

Question

game Animal Tracks.
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.
Your equations, graph, and explanation for your race design will be submitted as
your portfolio assessment.
i need help i picked 2 animals a mouse which travels at 8mph and a chicken that travels 9mph

Answer 1

Let x represent the distance the mouse travels and let y represent the distance the chicken travels.

The equation for the mouse is 8x = y, and the equation for the chicken is 9y = x.

The graph of the system of equations is a line with a slope of -1. This graph shows that the two animals have an equal chance of winning the race because the line is symmetrical. This means that the distance the mouse travels is equal to the distance the chicken travels, so they will finish the race in the same amount of time.