Grade 7 | Unit 2 | Lesson 7: Comparing Relationships with Tables | Practice Problems

Decide whether each table could represent a proportional relationship. If the relationship could be proportional, what would the constant of proportionality be? How loud a sound is depending on how far away you are.

• Proportional with constant of proportionality

• Not proportional

The cost of fountain drinks at Hot Dog Hut.

• Proportional with constant of proportionality

• Not proportional

• Proportional

• Not proportional

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:

distance (meters)	time (minutes)
108	2
405	7.5
540	10
1,768.5	32.75

• Not proportional

Rabbit’s run:

distance (meters)	time (minutes)
800	1
900	5
1,107.5	20
1,524	32.5

• Proportional

• Not proportional

• Not proportional

a	b
3	360
5	600
8	960
12	1440

• Not proportional

a	b
75	3
200	8
1525	61
10	0.4

• Not proportional

• Not proportional

Kiran and Mai are standing at one corner of a rectangular field of grass looking at the diagonally opposite corner. Kiran says that if the field were twice as long and twice as wide, then it would be twice the distance to the far corner. Mai says that it would be more than twice as far, since the diagonal is even longer than the side lengths. Do you agree with either of them?

• Agree with Kiran

• Agree with Mai