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Eva's family had a 15,000 gallon swimming pool built. They began filling the pool at 8am on Saturday. Every 15 minutes, Eva recorded the number of gallons of water in the pool. The pool was being filled at a constant rate. The tables shows the first 45 minutes of data: Eva said that the swimming pool should be full by Noon. Do you agree or disagree with Eva?

1 Answer

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Final answer:

To ascertain if Eva's pool will be full by Noon, one must calculate the pool's filling rate using the data recorded over time and then predict the total fill time. The actual recorded data is missing, thus preventing a definitive answer. The formula involves dividing the total volume by the rate of fill.

Step-by-step explanation:

To determine whether Eva's estimation is correct that the swimming pool should be full by Noon, we need to analyze the pool's filling rate based on the given data. Sadly, the question does not provide the actual data recorded by Eva. However, assuming that Eva recorded an increase in a consistent manner, we would typically calculate the rate by finding the difference in gallons between each 15-minute interval and dividing by 15 minutes to find the fill rate per minute.



Once the fill rate per minute is known, we would calculate the time needed to fill the remaining volume of the pool using the formula:



Time = (Total volume - Current volume) / Fill rate per minute



If the calculated time, when added to the start time (8 am), is before or exactly at Noon, then Eva's estimation would be correct. If it is after Noon, then Eva's estimation would be incorrect.

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