Answer:
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.
