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 β€œthe 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.

-7 (feet below the surface)

5 * 15 = 75

82 - 75 = 7
So yes, still 7 feet deep.

I apologize for my mistake. You are correct, the diver is still 7 feet below the surface after ascending 5 steps of 15 feet each. Therefore, the integer to describe his new position in relation to the water surface is -7.

To find the diver's new position in relation to the water surface, we need to calculate the total change in depth.

The diver started at 82 feet below the surface. Each step is an increase of 15 feet. Since the diver took five steps, we can calculate the total increase in depth by multiplying the step size (15 feet) by the number of steps (5).

15 feet * 5 steps = 75 feet

The total increase in depth is 75 feet. To find the new position in relation to the water surface, we subtract this depth increase from the starting depth of 82 feet.

82 feet - 75 feet = 7 feet

Therefore, the diver's new position in relation to the water surface is 7 feet below the surface.