Final answer:
The number of cups is not proportional to the height in centimeters because the ratio of cm per cup is different for each pair provided.
Step-by-step explanation:
To determine whether the number of cups is proportional to their height in centimeters, we need to check if the ratio between the number of cups and the centimeters is consistent across all given pairs. We can calculate this by dividing the number of centimeters by the number of cups for each given set.
- A: 15 cm / 6 cups = 2.5 cm per cup
- B: 23 cm / 12 cups = 1.9167 cm per cup
- C: 50 cm / 28 cups = 1.7857 cm per cup
As we can see, the cm per cup ratio is not the same across all pairs. This inconsistency shows that the number of cups is not proportional to the height in centimeters. Proportionality would require the same cm per cup ratio for all pairs.