Answer:
w = (1/3)*t
Step-by-step explanation:
There is a proportion between the amount of water (w) and the time elapsed (t). For every 3 minutes a gallon of water is added to the cooler, this means that in 6 minutes 2 gallons will be added, in 9 minutes 3 gallons, and so on. Therefore, the relationship is:
w/t = 1/3 = 2/6 = 3/9
where t is in minutes and w in gallons
Rearranging gives:
w = (1/3)*t
We can check this equation replacing t with, for example, 6 minutes, to get:
w = (1/3)*(6) = 2 gallons