Final answer:
The constant of variation for the relationship between the model airplane's representation in feet and centimeters is 0.125 feet per centimeter.
Step-by-step explanation:
To find the constant of variation, we need to determine the relationship between the length in feet and the length in centimeters. Given that the model airplane represents 2 feet using 16 cm, we can set up a proportion:
2 feet / 16 cm = x feet / 1 cm
Cross-multiplying and solving for x, we get:
x = (2 feet * 1 cm) / 16 cm
x = 0.125 feet
Therefore, the constant of variation is 0.125 feet per centimeter.