Question

at a depth of x metres, the temperature of the water in an ocean is T°C. At depths below 900 metres, T is inversely proportional to x. T is given by T=4500 divided by x. Work out the difference in the temperature of the water at a depth of 1200 meters and the temperature of the water at a depth of 2500 meters

Answer 1

Explanation:

the temperature of the water is always inversely proportional to the depth x. the larger the depth the lower the temperature.

just the rate of change changes at certain levels.

so, below 900 meters the relation is defined as

T = 4500/x

at 1200 m this means

T = 4500/1200 = 45/12 = 15/4 = 3.75°C

at 2500 m this means

T = 4500/2500 = 45/25 = 9/5 = 1.8°C

the difference in temperature at these 2 levels is

3.75 - 1.8 = 1.95°C