A cylindrical container has a height of 16 centimeters. Water entered the container at a constant rate until it was completely filled. Then water was allowed to leak out through a small hole in the bottom. The height of the water in the container was recorded every half minute over a 5-minute period.

(a) Plot the data. 

(b) Find a piecewise-defined function that models the data.

(c) Approximate the water level after 1.25 minutes and after 3.2 minutes. 

(d) Estimate the time when water was flowing out of the tank and the water level was 5 centimeters.

Transcribed Image Text:

Time (min) 0 Height (cm) Time (min) Height (cm) 0.5 1.0 1.5 2.0 2.5 0 4 8 12 16 11.6 3.0 8.1 3.5 4.0 4.5 5.0 5.3 3.1 1.4 0.5