Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
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 “the bends.” 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 started at 82 feet below the surface. Each step he rises 15 feet, so after the first step he is at:
82 - 15 = 67 feet below the surface.
After the second step, he rises another 15 feet:
67 - 15 = 52 feet below the surface.
After the third step:
52 - 15 = 37 feet below the surface.
After the fourth step:
37 - 15 = 22 feet below the surface.
After the fifth and final step:
22 - 15 = 7 feet below the surface.
Therefore, the diver's new position in relation to the water surface is 7 feet below the surface, which can be represented by the integer -7.