SOLUTION: I have an assignment and it's about a fair race between two animal and I need to make their out come into a linear equation. First speed 45 mph second is 43mph. Can you please help

Question 1085554: I have an assignment and it's about a fair race between two animal and I need to make their out come into a linear equation. First speed 45 mph second is 43mph. Can you please help me
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
You will have 2 equations that have the form:
[ distance ] = [ rate ] x [ time ]

You are given the rates, which will be the slopes
of the straight lines. So you have:
and

---------------------------------------
The rates have units of miles/hr, so the
units of the 3 parts of the equations are:
[ distance in miles ] = [ rate in mi/hr ] x [ time in hrs ]
--------------------------------------------------
You can choose various values for , and determine
for example:
mi

hr
-----------------
mi

hrs
-----------------
So you have 2 points on the 1st line:
( 1, 45 ) and
( 2, 90 )
-----------------
Keep going like this for both lines, and
you can plot them.
-----------------
If the animals start a race together at the
same time, the slow one is always behind.
--------------------------------------
If you give the slow one a headstart, then
the fast one will catch up after a certain
time
---------------------------------------
Here's a plot with the slow one having a headstart of
mi

You can see they have to run many miles for the fast one to catch up.
Hope this helps

RELATED QUESTIONS
I have a assignment on making two linear equations from two animals racing a fair race.... (answered by Theo)

I was assigned a problem that reads: "Design a fair race in which the two animals have... (answered by stanbon)

How do I write a system of two linear equations showing the distance each animal can... (answered by josmiceli)

I need to design a fair race for two animals. The animals need to finish in the same... (answered by KMST)

Hi, I'm new here and hope this is the right topic for my question(s)... I have some... (answered by ankor@dixie-net.com)

hello! i have an assignment in which i have to make a rectangular prism with the largest... (answered by stanbon)

Statistics Parametric and Nonparametric Data Identification Assignment I need help... (answered by stanbon)

I am very confused. I have attempted this many times for an assignment and am not... (answered by lynnlo,Alan3354)

I've completed some of the questions - however I am not sure if they are correct. Your... (answered by stanbon)