Question

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

Answer 1

Answer:

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.