as a diver descends below the surface of the ocean, she attaches air tanks to a long cable. the first tank is at 150 meters below the surface. the other tanks are attached at intervals of 250 meters below the surface. what integer represents the depth relative to the surface of the sixth tank?
To find the depth relative to the surface of the sixth tank, we need to determine the total depth by adding up the depths of all the tanks.
The first tank is at 150 meters below the surface. The second tank is attached at 250 meters below the surface from the first tank. This means the second tank is at a total depth of 150 + 250 = 400 meters below the surface.
Similarly, the third tank is attached at 250 meters below the second tank, so its total depth is 400 + 250 = 650 meters below the surface.
We can continue this pattern and determine the total depth for the fourth and fifth tanks:
- The fourth tank is 250 meters below the third tank, so its total depth is 650 + 250 = 900 meters below the surface.
- The fifth tank is another 250 meters below the fourth tank, so its total depth is 900 + 250 = 1150 meters below the surface.
Finally, we need to calculate the total depth of the sixth tank:
- The sixth tank is attached at 250 meters below the fifth tank, so its total depth is 1150 + 250 = 1400 meters below the surface.
Therefore, the integer that represents the depth relative to the surface of the sixth tank is 1400.