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.
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.
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
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.
1. The diver rose in 5 steps of 15 feet each, so the total distance he rose was 5 x 15 = 75 feet.
2. To find his new position in relation to the water surface, we can subtract the distance he rose from his starting position:
82 - 75 = 7
Therefore, the diver's new position in relation to the water surface is 7 feet below the surface.
3. Equation:
Starting floor - distance traveled = ending floor
Let x be the starting floor.
The elevator starts on the 10th floor, so x = 10.
After going down 9 floors:
x - 9
After going up 19 floors:
(x - 9) + 19 = x + 10
After going down 3 floors:
(x + 10) - 3 = x + 7
Finally, after going down 12 floors:
(x + 7) - 12 = x - 5
Therefore, the elevator ends up on the 5th floor.