Final answer:
To calculate the total change in the amount of water after 4 hours, given that 1.9 ounces leaks out every 96 minutes, we determine that there are 2 full intervals within the 4-hour period, resulting in a total water loss of 3.8 ounces.
Step-by-step explanation:
The student wants to calculate the total change in the amount of water in a container after 4 hours, when there is a small leak where every 96 minutes 1.9 ounces of water leaks out. First, we calculate how many 96-minute intervals there are in 4 hours:
4 hours = 4 × 60 minutes = 240 minutes.
Then we divide the total minutes by the interval length to find out how many intervals of leaking occur:
240 minutes ÷ 96 minutes per interval = 2.5 intervals.
Since only a full interval can have a leak, we consider only 2 full intervals:
2 intervals × 1.9 ounces per interval = 3.8 ounces.
The total change in the amount of water in the container after 4 hours is 3.8 ounces.