Question

Water temperature (T) in an ocean varies inversely to the water’s depth (d). Consider the Atlantic Ocean, which covers 22% of Earth’s surface. At a certain location in the ocean at the depth of 500 feet, the temperature is 28°F. Find the temperature at the same location at a depth of 1000 feet. Enter the value of the temperature rounded to the nearest integer.

Answer 1

Answer: To find the temperature at a depth of 1000 feet in the Atlantic Ocean, we can consider the following steps:

1. Understand the relationship between water temperature and depth:

The problem states that water temperature (T) in the ocean varies inversely to the water's depth (d). This means that as the depth increases, the temperature decreases, and vice versa.

2. Determine the initial temperature and depth:

At a depth of 500 feet, the temperature is given as 28°F.

3. Set up the inverse variation equation:

Using the formula for inverse variation, we can set up the equation as follows:

T1 * d1 = T2 * d2

4. Substitute the values:

Let T1 be the initial temperature (28°F) and d1 be the initial depth (500 feet). Let T2 be the temperature we want to find and d2 be the new depth (1000 feet). Substituting the values into the equation, we have:

28 * 500 = T2 * 1000

5. Solve for T2:

Dividing both sides of the equation by 1000, we get:

14 = T2

Therefore, the temperature at a depth of 1000 feet is 14°F.

Explanation: