Question

A diver begins at sea level and dives down 200 feet. He ascends at a steady rate of 121/3 feet per minute for 4.5 minutes. This depth is represented by the numerical expression:

-200 + 121
3
(4.5)

Simplify the expression using the order of operations. What is the diver’s depth?

     -200 + 37
3
(4.5)

    -200 + 55.5

Answer 1

-144.5

Explanation:

Answer 2

The diver's depth is 144.5 feet below sea level.

Explanation:

Let's find out the answer using the information given:

Depth of the diver = - 200 feet (below sea level)

Ascent speed = 12 1/3 feet per minute

Ascent duration = 4.5 minutes

Diver's depth after the ascent = - 200 + 12 1/3 * (4.5)

Diver's depth after the ascent = - 200 + 37/3 * (4.5)

Diver's depth after the ascent = - 200 + 12.33 * (4.5)

Diver's depth after the ascent = - 200 + 55.5

Diver's depth after the ascent = - 144.5

After ascending 4.5 minutes, the diver will be 144.5 feet below sea level.