Answer :
To calculate the upper bound for the rate at which water could have flowed into the lake, we need to consider the possible maximums for both the number of liters and the time recorded.
Liters Recorded: Jacob recorded 500 liters to the nearest 20 liters. This means the actual amount of water could range from 490 to 510 liters. For the upper bound, we consider the highest possible amount, which is 510 liters.
Time Recorded: The time was recorded to the nearest 10 seconds. Since Jacob noted that the water flowed in 1 minute, the recorded time corresponds to 60 seconds. Therefore, the actual time could range from 55 seconds to 65 seconds. For the upper bound, we take the smallest possible time, which is 55 seconds.
Calculating Upper Bound Rate: The rate is given by:
[tex]\text{Rate} = \frac{\text{Liters}}{\text{Time (in seconds)}}[/tex]
Substituting the upper bound values we have:
[tex]\text{Rate} = \frac{510}{55} \approx 9.27 \text{ liters per second}[/tex]
Thus, the upper bound for the rate at which water could have flowed into the lake is approximately 9.27 liters per second, rounded to two decimal places.
