Answer:
Water temperature in an ocean varies inversely to the water’s depth. Between the depths of 250 feet and 500 feet, the formula
T
=
14
,
000
d
gives us the temperature in degrees Fahrenheit at a depth in feet below Earth’s surface. Consider the Atlantic Ocean, which covers 22% of Earth’s surface. At a certain location, at the depth of 500 feet, the temperature may be 28°F.
The related variation equation where k is the constant of proportionality is [tex]t=\frac{k}{F}[/tex]
For inverse variation, if a is inversely proportional to b. This is expressed as:
[tex]a \alpha \frac{1}{b}[/tex]
Introducing the constant of variation will give;
[tex]a=\frac{k}{b}[/tex]
Applying the concept to the question:
If the temperature t at which water boils is inversely proportional to the number of feet F, this is expressed as:
[tex]t \alpha \frac{1}{F}[/tex]
[tex]t=\frac{k}{F}[/tex]
Hence the related variation equation where k is the constant of proportionality is [tex]t=\frac{k}{F}[/tex]
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