Water Temperature and Depth Relationships

The video tutorial explains how water temperature in the ocean varies inversely with depth. It introduces the concept of inverse variation, defines variables, and sets up the equation. Using given data, the constant of proportionality is calculated. Finally, the tutorial demonstrates how to find the water temperature at a depth of 800 meters using the constant.

What happens to the water temperature as the depth increases in the ocean?

• It remains constant.

• It decreases.

• It fluctuates randomly.

• It increases.

Which type of variation describes the relationship between water temperature and depth?

• Linear variation

• Exponential variation

• Inverse variation

• Direct variation

What is the formula used to express inverse variation?

• y = k + x

• y = k / x

• y = x / k

• y = k * x

At a depth of 1200 meters, what is the water temperature?

• 7 degrees Celsius

• 5 degrees Celsius

• 10 degrees Celsius

• 12 degrees Celsius

How do you calculate the constant of proportionality (k) in this context?

• Subtract depth from temperature

• Add temperature and depth

• Divide temperature by depth

• Multiply temperature by depth

What is the value of the constant of proportionality (k) in this problem?

• 800

• 8400

• 1200

• 7

What is the next step after finding the constant of proportionality?

• Change the equation

• Calculate a new temperature

• Find a new depth

• Recalculate the constant

What depth is used to find the new water temperature in part B?

• 600 meters

• 1200 meters

• 1000 meters

• 800 meters

What is the water temperature at a depth of 800 meters?

• 10.5 degrees Celsius

• 8.5 degrees Celsius

• 12 degrees Celsius

• 7 degrees Celsius

How should the final temperature be rounded?

• To the nearest whole number

• To two decimal places

• To one decimal place

• To three decimal places