The pairs of numbers below represent the price of different quantities of books at 4 stores.
Which pair of numbers represents a proportional relationship?
o 4 books for $24,8 books for $40
o 5 books for $25, 6 books for $36
o 2 books for $14, 5 books for $35
o 3 books for $15, 7 books for $28

Option C: 2 books for $14, 5 books for $35

Step-by-step explanation:

A proportional relationship between two quantities would always have a constant of proportionality. Thus,

Constant of proportionality, k = y/x

In this case,

x = quantity of books

y = price

Let's see which pair will have a constant of proportionality:

Option A: 4 books for $24,8 books for $40

24/4 = 6;

40/8 = 5.

No constant of proportionality.

Option B: 5 books for $25, 6 books for $36

25/5 = 5

36/6 = 6

No constant of proportionality.

Option C: 2 books for $14, 5 books for $35

14/2 = 7

35/5 = 7

Constant of proportionality, k = 7.

This pair represents a proportional relationship.

Option D: 3 books for $15, 7 books for $28

15/3 = 5

28/7 = 4

No constant of proportionality.