For the given table, we'll show is it a proportional relationship or not.
Turtle's Run:
we will divide the distance by the time
Distance, time
108 , 2 ⇒ 108/2 = 54 meters per minutes
405 , 7.5 ⇒ 405/7.5 = 54 meters per minutes
540, 10 ⇒ 540/10 = 54 meters per minutes
1768.5, 32.75 ⇒ 1768.5/32.75 = 54 meters per minutes
So, It is a proportional relationship
the equation will be:
Let the distance = y, time = x
Rabbit's Run:
we will divide the distance by the time
Distance, time
800, 1 ⇒ 800/1 = 800 meters per minutes
900, 5 ⇒ 900/5 = 180 meters per minutes
1107.5, 20 ⇒ 1107.5/20 = 55.375
So, as the result of division is not constant
The relation is not proportional