When pouring water from one five gallon bucket to another, one tends to pour at a faster rate initially and then slow down in order not to spill. The following function will estimate how much water is left in the bucket from which one is pouring:
where y is volume in gallons left in the original bucket and t is the time spent pouring in seconds. Predict the amount of water left in the original bucket and the amount in the new bucket after 6 seconds of pouring.
◦ 2.48 gallons in the original bucket and 2.52 gallons in the new bucket
◦ 4.17 gallons in the original bucket and 0.83 gallons in the new bucket
◦ 2.52 gallons in the original bucket and 2.48 gallons in the new bucket
◦ 4.38 gallons in the original bucket and 0.62 gallons in the new bucket
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