Anyone please help me!
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. (I chose elephant which is 25 mph and an ostrich which is 40 mph.)
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.
Here's my work:
1 = Elephant | 25 mph
2 = Ostrich | 40 mph
v=d/t,
t=d1/v1
t= d2/v2
-t= - (d1/v1)
0=(d2/v2)-(d1/v1)
t=(d2/v2)
d2=v2(d1/v1)
d2=(45/25)(1)=1.6
I've figure out the math for this part but I'm terrible with making graphs, could anyone help me make a graph and explain it to me? Thank you!
I don't get how you did the math. Could you explain?
A lion can run 50 mph and an elephant can run 25 mph.
create two linear equations and a graph representing the equations.
So what do i do now?
To create two linear equations, we can use the slope-intercept form: y = mx + b. We'll use x to represent the speed of the animal, and y to represent the distance it covers in one hour.
For the lion, we have:
y = 50x
For the elephant, we have:
y = 25x
To graph these equations, we can use a coordinate plane. We'll set the x-axis to represent the speed (in miles per hour) and the y-axis to represent the distance covered (in miles) in one hour. We'll then plot the two points (0,0) and (1,50) for the lion equation, and the two points (0,0) and (1,25) for the elephant equation. Then, we'll draw a line connecting the two points for each equation. The resulting graph will have two parallel lines, one for the lion and one for the elephant, with the lion's line being twice as steep as the elephant's line.
Here's what the graph looks like:
