Directions: Follow the instructions below to design a fair race for the new video
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
Did you ever get the answer to this i really need help
Tch. I hate Portfolios ;-;
today is my birthday and I have to do this portfolio lmao its going to take all day because I'm not good at math at all
To design a fair race for the video game Animal Tracks using a mouse and a chicken with speeds of 8 mph and 9 mph respectively, follow these steps:
Step 1: Define Variables
Let's define the variables:
- Let "t" represent the time it takes for both animals to complete the race.
- Let "d_mouse" represent the distance traveled by the mouse.
- Let "d_chicken" represent the distance traveled by the chicken.
Step 2: Design the Fair Race
To ensure a fair race, we need to make sure that both animals have an equal chance of winning the race if they both run at their top speeds. Since the mouse is slower, we should give it a shorter distance to race. Let's say we give the mouse a head start of "x" miles.
So, the distance traveled by the mouse, d_mouse, can be represented as:
d_mouse = x + 8t (since the mouse has a head start of "x" miles)
The distance traveled by the chicken, d_chicken, is simply:
d_chicken = 9t
Step 3: Write the System of Equations
Based on the race design, we have the following system of equations:
d_mouse = x + 8t
d_chicken = 9t
Step 4: Graph the System of Equations
To graph the system, you can plot the equations on a coordinate plane. Set the time, "t," as the x-axis, and the distances, "d_mouse" and "d_chicken," as the y-axis.
- For the equation d_mouse = x + 8t, plug in different values of "t" (time) to calculate the corresponding values of "d_mouse."
- For the equation d_chicken = 9t, plug in different values of "t" (time) to calculate the corresponding values of "d_chicken."
Plot the points on the graph, and connect them to form a line for each equation. The point where the two lines intersect represents the time, "t," at which both animals would finish the race.
Step 5: Explain how the Graph Proves the Race is Fair
The graph proves the race is fair because the intersection point (where the two lines meet) represents the time at which both animals would finish the race. Since both animals have reached the same distance at that point, they would finish the race at the same time.
As long as the mouse has a head start, indicated by the distance "x," and both animals run at their maximum speeds, they would have an equal chance of winning the race.
Remember, the fair race design for a video game does not need to be realistic in terms of distance or constant speed. It only needs to ensure that both animals have an equal opportunity to win the race.
Please note that the graphing process should be done on a coordinate plane to accurately plot and visualize the intersection.