# Need algebra help with designing a fair race for a new video game based on functions

**Question description**

Fair Race
UNIT NAME: FUNCTIONS
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.
Animal Speed (mph)
cheetah 70
lion 50
coyote 43
rabbit 35
kangaroo 30
squirrel 12
chicken 9
antelope 61
elk 45
ostrich 40
giraffe 32
© 2015 Connections Education LLC. All rights reserved.
Animal Speed (mph)
elephant 25
pig 11
mouse 8

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