Final answer:
The value of y at the data point (12, y) is 33 centimeters, as the water level increases by 11 centimeters every 4 minutes, leading to a total increase of 33 centimeters after 12 minutes.
Step-by-step explanation:
The question asks us to find the value of y, which is the height of the water in the wading pool after a certain time has passed. We know that the water level rises 11 centimeters every 4 minutes. To find the value at the data point (12, y), we first determine the number of 4-minute intervals in a 12-minute period. There are 12 minutes / 4 minutes per interval = 3 intervals.
Since the water rises 11 centimeters for each interval, we calculate the total rise after 3 intervals. The rise is 11 cm/interval × 3 intervals = 33 cm. So, the value of y after 12 minutes is 33 centimeters, which corresponds to option C.