Final answer:
The integer that represents Sofia's depth after 15 minutes of descending 5 feet every 3 minutes is 25 feet.
Step-by-step explanation:
The question asks to find the integer that represents Sofia's depth after 15 minutes if she descends into the water 5 feet every 3 minutes. To solve this problem, we can use a simple rule of three or unitary method to determine her depth after 15 minutes.
To determine Sofia's depth in the water after 15 minutes, we need to calculate the number of times she descended into the water and then multiply it by the distance she descends each time.
Since Sofia descends into the water 5 feet every 3 minutes, we can calculate the number of times she descended by dividing 15 minutes by 3 minutes: 15 / 3 = 5 times.
Now, we multiply the number of times she descended by the distance she descends each time: 5 times * 5 feet = 25 feet.
We know that Sofia descends 5 feet in 3 minutes, and we want to find out how deep she will be after 15 minutes, which is 5 times longer than 3 minutes.
So, if 3 minutes corresponds to 5 feet, then for 15 minutes (5 times more time), she will descend 5 times the distance:
- (5 feet / 3 minutes) * 15 minutes = (5/3) * 15
- =(5*5) feet
- = 25 feet
Therefore, the integer that represents Sofia's depth after 15 minutes is 25 feet.