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Multiple Choice Question

Billy was standing on a diving board that was 4 feet above the water. He dove into the pool which was 8 feet deep and touched the bottom. Which statement accurately describes this situation?

A.
If 0 represents the height of the diving board, then +4 represents the water level and –8 represents the bottom of the pool.

B.
If +4 represents the height of the diving board, then 0 represents the water level and –8 represents the bottom of the pool.

C.
If 0 represents the height of the diving board, then 4 represents the water level and 8 represents the bottom of the pool.

D.
If +8 represents the height of the diving board, then 0 represents the water level and –4 represents the bottom of the pool.

1 answer

To accurately describe the situation involving the diving board and the pool, we can analyze the information given:

  • The height of the diving board is 4 feet above the water.
  • The pool is 8 feet deep, which means the bottom of the pool is 8 feet below the water level.

Now let's look at the options:

A. If 0 represents the height of the diving board, then +4 represents the water level and –8 represents the bottom of the pool.

  • This is incorrect because if 0 is the diving board, then the water level would be lower than that, and the bottom of the pool would not be correctly represented.

B. If +4 represents the height of the diving board, then 0 represents the water level and –8 represents the bottom of the pool.

  • This is correct. If the diving board is at +4 feet, the water level at 0 feet makes the bottom of the pool at -8 feet.

C. If 0 represents the height of the diving board, then 4 represents the water level and 8 represents the bottom of the pool.

  • This is incorrect because if 0 is the diving board, the water level cannot be at +4 and the bottom cannot be at 8.

D. If +8 represents the height of the diving board, then 0 represents the water level and –4 represents the bottom of the pool.

  • This is incorrect because the diving board is at +4 feet, not +8 feet.

The correct answer is:

B. If +4 represents the height of the diving board, then 0 represents the water level and –8 represents the bottom of the pool.