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At the depth of \( x \) metres, the temperature of the water in an ocean is \( T \) degrees Celsius. At depths below 900 metres, \( T \) is inversely proportional to \( x \).

\( T \) is given by \( \frac{4500}{x} \).

Work out the difference in temperature of the water at a depth of 1200 metres and the temperature of the water at a depth of 3750 metres.

Answer :

Answer:

The difference in temperature between a depth of 1200 meters and 3750 meters is 2.55

Step-by-step explanation:

The temperature T of the water in an ocean at depth X below 900 meters is given by:

T= 4500/X

To calculate the difference between a depth of 1200 meters and 3750 meters, it is necessary to calculate the temperature individually.

first, 1200 meters and 3750 meters are below 900 meters, so the equation describe before is applicable.

As a result, for 1200 meters, the temperature (symbolized as T1) is given by:

T1=4500/X

T1=4500/1200

T1=3.75

For 900 meters, the temperature (simbolized as T2) is given by:

T2=4500/X

T2=4500/3750

T2=1.2

The difference between the temperature T1 and T2 is:

Difference in temperature = T1 - T2

Difference in temperature = 3.75 - 1.2

Difference in temperature = 2.55

So, the difference in temperature between a depth of 1200 meters and 3750 meters is 2.55

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