3. a rabbit and turtle are in a race. is the relationship between distance

traveled and time proportional for either one? if so, write an equation that

represents the relationship.

turtle's run:

1

distance (meters)

108 comp

405 0.145

540 16

1,768.5

time (minutes)

2

7.5

rabbit's run:

distance (meters) time (minutes)

800 900

900 0.bas

1,107.

50

1,524 ,211 32.5

10

20

32.75

The relationship is proportional for the turtle and the equation is Distance = 54*Time

Step-by-step explanation:

Turtle’s run:

Distance (meters) | Time (minutes)

108                        | 2  

405                       | 7.5

540                       | 10

1768.5                   | 32.75

Rabbitt’s run:

Distance (meters) | Time (minutes)

800                       | 1  

900                       | 5

1107.5                    | 20

1524                      | 32.5

The relationship between distance traveled and time is proportional if this equation is satisfied:  

Distance = k*Time or k = Distance/Time

where k is a constant

For the turtle:

108/2 = 405/7.5 = 540/10 = 1768.5/32.75 = 54

Then, the relationship is proportional and the equation is Distance = 54*Time

For the rabbit:

800/ 1 = 800  

900/5 = 180

1107.5/20  = 55.375

1524/32.5  = 46.89

Then, the relationship is not proportional.

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step-by-step explanation:

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)