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.
