I am prepping for a mid-term. A deep sea diving bell is lowered at a rate (constant). After 10 min, the bell is at a depth of 300 ft. After 30 min the bell is at a depth of 1400 feet. What is the ave. rate of lowering per minute?
Thanks
the average is ... total depth / total time
it went slower in the beginning
To find the average rate of lowering per minute, we can use the concept of slope or rate of change. The average rate of lowering per minute is the change in depth divided by the change in time.
We are given that after 10 minutes, the bell is at a depth of 300 ft, and after 30 minutes, the bell is at a depth of 1400 ft. This gives us two data points: (10, 300) and (30, 1400).
To calculate the change in depth, we subtract the initial depth from the final depth: 1400 ft - 300 ft = 1100 ft.
Similarly, to calculate the change in time, we subtract the initial time from the final time: 30 min - 10 min = 20 min.
Now we can calculate the average rate of lowering per minute by dividing the change in depth by the change in time: 1100 ft / 20 min = 55 ft/min.
Therefore, the average rate of lowering per minute is 55 ft/min.