GCSE Secondary Maths Age 13-17 - Ratio, Proportion & Rates of Change: Inverse Proportionality - Explained

The video tutorial explains the inverse relationship between ocean water temperature and depth, using the formula T = 4500 / X. It demonstrates how to calculate temperature differences at depths of 1200 meters and 2500 meters, resulting in a difference of 1.95 degrees Celsius. The tutorial also guides viewers in identifying the correct graph that represents this inverse relationship, emphasizing the importance of understanding mathematical errors and graph behavior.

What is the relationship between temperature and depth in the ocean below 900 meters?

• Temperature increases exponentially with depth.

• Temperature is inversely proportional to depth.

• Temperature remains constant regardless of depth.

• Temperature is directly proportional to depth.

Using the formula T = 4500 / X, what is the temperature at a depth of 1200 meters?

• 3.75 degrees Celsius

• 4.5 degrees Celsius

• 2.5 degrees Celsius

• 5.0 degrees Celsius

What is the temperature difference between depths of 1200 meters and 2500 meters?

• 1.95 degrees Celsius

• 2.0 degrees Celsius

• 1.5 degrees Celsius

• 2.5 degrees Celsius

Which graph correctly represents the inverse relationship between temperature and depth?

• Graph B

• Graph C

• Graph D

• Graph A

If X is a very large number, what happens to the value of T in the equation T = 4500 / X?

• T becomes very large.

• T equals zero.

• T becomes very small.

• T remains constant.