Question

the water temperature of the ocean varies inversely as the water's depth. at a depth of 1000 meters, the water temperature is 4.5 Celsius. what is the water temperature at a depth of 2000 meters? at a depth of 2000 meters, the water temperature of the ocean is ____ celsius.

Answer 1

Since the water temperature and water's depth are inversely proportional we can set the following equation:

$T=\frac{k}{d}$

where k is the proportionality constant. On the other hand, we know that

$4.5^{\circ}C^{}=\frac{k}{1000m}$

Solving for k we get:

$k=4.5^{\circ}C\cdot1000m=4500^{\circ}Cm$

Then at a depth of 2000 meters, the temperature is:

$T=\frac{4500^{\circ}Cm}{2000m}=2.25^{\circ}C$