Final answer:
The relationship between g and t can be represented by the equation g = kt, where k is the constant of proportionality.
Step-by-step explanation:
The relationship between g (number of gallons) and t (number of seconds) can be represented by a proportional equation. Since the garden hose fills a 2-gallon bucket in 5 seconds, we can set up the equation as g/t = k, where k is the constant of proportionality. This can be simplified to g = kt. Hence, the equation that represents the relationship between g and t is g = kt.