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

To design a fair race between a mouse and a chicken, you need to create a race where both animals travel at their top speeds and finish the race in the same amount of time. Since the mouse has a speed of 8 mph and the chicken has a speed of 9 mph, you can give the slower animal (the mouse) a shorter distance to race.

Let's use the formula Time = Distance/Speed for each animal.

1) For the mouse, let's represent the distance it needs to travel as Dm. Since the mouse moves at 8 mph, the time it takes to finish the race is Tm = Dm/8.

2) For the chicken, let's represent the distance it needs to travel as Dc. Since the chicken moves at 9 mph, the time it takes to finish the race is Tc = Dc/9.

In order to make the race fair, we want the time it takes for the mouse and the chicken to be equal (Tm = Tc).

So, we have the following two linear equations:

Tm = Dm / 8
Tc = Dc / 9
Tm = Tc

Replacing Tm and Tc from the first two equations:

Dm / 8 = Dc / 9

Now, we need to find a suitable distance for both animals. Let's assume the chicken will run 9 miles.

9 = Dc / 9
Dc = 81

Now, plugging this value into the equation:

Dm / 8 = 81 / 9
Dm / 8 = 9
Dm = 72

So the mouse will have to run 72 miles while the chicken runs 81 miles.

The linear equations for this fair race are:

Dm = 8Tm
Dc = 9Tc

Graph these equations to show that the animals have an equal chance of winning the race. At the point where the two lines intersect on the graph, both the mouse and chicken finish the race at the same time, proving that the race is fair.