Question

The expression - 370 + 15z represents a submarine that began at a depth of 370 feet below sea leve

and ascended at a rate of 15 feet per minute. What was the depth of the submarine after 5 minutes?

Answer 1

The depth of the submarine was 295 feet

Explanation:

Function Modeling

The following expression models the depth of a submarine that began at -370 m and ascended at 15 ft/minute:

d = -370 + 15z

Where z is the time in minutes.

We are required to find the depth of the submarine at t=5 minutes. Substituting t=5 into the function model:

d = -370 + 15(5)

d = -370 + 75

d = -295 feet

The depth of the submarine was 295 feet