Final answer:
X and Y are directly proportional with the equation of proportionality Y=X/4, where the proportionality constant (k) is 1/4.
Step-by-step explanation:
The information provided shows that for every increase in the value of X, there is a corresponding equal increase in the value of Y (X: 4, 8, 12, 16... Y: 1, 2, 3, 4...). This indicates that the variables X and Y are directly proportional. To find the equation of proportionality, we look at the ratios of X to Y:
All of these reduce to the constant ratio 4, which is the proportionality constant (k). Therefore, the equation of proportionality is Y=X/4 or Y=k*X, where k=1/4.