Which situation best represents a proportional relationship?

Option (3)

Step-by-step explanation:

Two variables 'x' and 'y' show the proportional relationship if,

y ∝ x

y = kx

Here, k = Proportionality constant

Option (1)

If Sandra sold 2 bracelets for $3 and 3 bracelets for $6.

For y = 3 and x = 2,

3 = 2k

k = 1.5

For y = 6 and x = 3

6 = 3k

k = 2

Here, proportionality constant is different in both the cases.

Therefore, Option A doesn't show the proportional relationship.

Option (2)

Jeff ran 4 miles in 20 minutes and 6 miles in 24 minutes.

For y = 20 and x = 4,

20 = 4k

k = 5

For y = 24 and x = 6,

24 = 6k

k = 4

Here, proportionality constant is different in both the cases.

Therefore, there is no proportional relationship.

Option (3)

Lamont packed 27 glasses in 9 cases and 81 glasses in 27 cases.

For y = 27 and x = 9

27 = 9k

k = 3

For y = 81 and x = 27,

81 = 27k

k = 3

Here, proportionality constant is k = 3 for both the cases.

Therefore. Option (3) is the answer.

Option (4)

Fernanda placed 8 pencils in 2 boxes and 16 pencils in 8 boxes.

For y = 8 and x= 2.

8 = 2k

k = 4

For y = 16 and x = 8,

16 = 8k

k = 2

Here, proportionality constant is different in both the cases.

Therefore, Option (4) is not the answer.