A deep-sea diver must descend and ascend in short steps to equalize pressure on his body. If the diver rises toward the surface too fast, he may suffer from a physical condition called βthe bends.β Suppose the diver started at 82 feet below the surface and rose in five steps of 15 feet each. Use an integer to describe his new position in relation to the water surface.
The diver's new position in relation to the water surface would be 7 feet below the surface.
Explanation:
If the diver starts at 82 feet below the surface and rises in steps of 15 feet each, the first step would bring him up to a depth of 67 feet (82 - 15 = 67). The second step would bring him up to a depth of 52 feet (67 - 15 = 52), the third step would bring him up to a depth of 37 feet (52 - 15 = 37), the fourth step would bring him up to a depth of 22 feet (37 - 15 = 22), and the fifth and final step would bring him up to a depth of 7 feet (22 - 15 = 7).
Therefore, the diver's new position in relation to the water surface is 7 feet below the surface.
7 feet below the water surface.
82 - (5 x 15) = 7
Yes, that is correct.
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An elevator on the 10th floor goes down 9 floors. Then it goes up 19 floors, down 3, and finally down 12. What floor does it end up on? Write an equation to show how you found your answer.
The elevator starts on the 10th floor and goes down 9 floors, which would bring it to the first floor (10 - 9 = 1). Then it goes up 19 floors, which would bring it to the 20th floor (1 + 19 = 20). Next, it goes down 3 floors, which would bring it to the 17th floor (20 - 3 = 17). Finally, it goes down 12 floors, which would bring it to the 5th floor (17 - 12 = 5).
Therefore, the elevator ends up on the 5th floor.
The equation to show how this answer was found is:
Starting floor - 9 + 19 - 3 - 12 = Ending floor
Plugging in the values, we get:
10 - 9 + 19 - 3 - 12 = 5
So the ending floor is 5.