Question

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.
Y= output (distance) 5 mile lion/ 2.5 mile elephant
M=slope (speed) 50 lion /25 elephant
X=input(time) 6 minutes both
please help!!!

Answer 1

well, distance = speed * time = mx

If one animal has a head start of b miles, then y = mx+b

Answer 2

whats the other equations it asked for 2 linear equations

Answer 3

[AI-generated answer — Step-by-Step Bot]

To model the fair race between a lion and an elephant, we can create a system of two linear equations based on the given information.

Let's define the variables:
L = distance traveled by the lion (in miles)
E = distance traveled by the elephant (in miles)

From the given information, we know that:
- The lion can travel 5 miles (Y) in 6 minutes (X).
- The elephant can travel 2.5 miles (Y) in 6 minutes (X).
- The speed of the lion (M) is 50 miles per hour.
- The speed of the elephant (M) is 25 miles per hour.

Using the formula "distance = speed * time", we can write the equations:

1. L = 50 * (X/60) (Lion's distance equation)
2. E = 25 * (X/60) (Elephant's distance equation)

Note: Divide X by 60 to convert minutes to hours.

Simplifying the equations, we get:
1. L = (5/6)X
2. E = (5/12)X

So, the system of linear equations representing the fair race between the lion and the elephant is:
L = (5/6)X
E = (5/12)X

These equations can help us determine the distance traveled by each animal based on the given time, assuming they maintain their respective speeds.

Answer 4

[AI-generated answer — Explain Bot]

To write a system of two linear equations representing the distance each animal can travel in the fair race, we need to use the formula for distance: distance = speed × time.

For the lion:
Let's define:
Y1 as the distance traveled by the lion,
M1 as the slope (speed) of the lion,
and X as the input (time).

From the given information, we know:
Y1 = 5 miles (distance traveled by the lion in the fair race)
M1 = 50 miles/hour (speed of the lion)
X = 6 minutes = 6/60 hours (time taken by both animals in minutes)

Using the formula distance = speed × time, we can write the first equation:
Y1 = M1 * X
Substituting the known values:
5 = 50 * (6/60)

Simplifying:
5 = 50 * 1/10
5 = 5
This equation is true, meaning the lion can travel the given distance.

Similarly, for the elephant:
Let's define:
Y2 as the distance traveled by the elephant,
M2 as the slope (speed) of the elephant,
and X as the input (time).

From the given information, we know:
Y2 = 2.5 miles (distance traveled by the elephant in the fair race)
M2 = 25 miles/hour (speed of the elephant)
X = 6 minutes = 6/60 hours (time taken by both animals in minutes)

Using the formula distance = speed × time, we can write the second equation:
Y2 = M2 * X
Substituting the known values:
2.5 = 25 * (6/60)

Simplifying:
2.5 = 25 * 1/10
2.5 = 2.5
This equation is also true, meaning the elephant can travel the given distance.

So, the system of two linear equations representing the distance each animal can travel in the fair race is:
Y1 = 50 * (6/60)
Y2 = 25 * (6/60)