Question

A diver begins at 150 feet below sea level, descends at a steady rate of 5 feet per minute for 3.5 minutes, and then ascends 122.2 feet. What is the diver’s current depth? Explain how to write a numerical expression to find the answer

Answer 1

Answer:

The answer is -45.3 feet depth. while minus sign shows the descend under the water with water surface as starting point.

Step-by-step explanation:

Initial depth of diver under the water $=-150feet$

Diver descends 5 feet per minute for 3.5 minutes $=3.5*(-5)$

                                                                                $=-17.5$

Note: minus sign shows that the diver is under the water.

Diver ascends $=122.2feet$

Now adding all the terms a below as a numerical expression.

Current Depth of Diver after he descends 5 feet for 3.5 minutes and ascend 122.2 feet after  $=-150-17.5+122.2$

                           $=45.3feet$

By taking the initial depth of diver from which we add or subtract the changes made when he ascends or descends in the water to get the current depth.

Answer 2

Start at -150, then add 3(-5), then add 122.2. -150 + 3(-5) + 122.2 = -45.3