SOLUTION: In 1970, Russia began drilling a deep borehole in the Kola Peninsula. Their goal was to reach a depth of 15km, but high temperatures in the hole forced them to stop in 1994 after r

Question 645426: In 1970, Russia began drilling a deep borehole in the Kola Peninsula. Their goal was to reach a depth of 15km, but high temperatures in the hole forced them to stop in 1994 after reaching a depth of 12km. They found that below 3km the temperature increased 2.5 degrees Celcius for each additional 100m of depth.
If the temperature at 3km is 30 degrees Celsius and x is the depth of the hole in km, write an equation using x that will give the temperature in the hole at any depth below 3km.
At what depth would they reach a temperature of 200 degrees Celcius?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
In 1970, Russia began drilling a deep borehole in the Kola Peninsula.
Their goal was to reach a depth of 15km, but high temperatures in the hole
forced them to stop in 1994 after reaching a depth of 12km.
They found that below 3km the temperature increased 2.5 degrees Celsius
for each additional 100m of depth.
If the temperature at 3km is 30 degrees Celsius and x is the depth of the
hole in km, write an equation using x that will give the temperature in
the hole at any depth below 3km.
:
2.5 degrees every 100 m, would be 25 degrees for every km
:
t(x) = 25x + 30
:
At what depth would they reach a temperature of 200 degrees Celsius?
25x + 30 = 200
25x = 200 - 30
25x = 170
x = 6.8 km below 3 km, temp would be 200 degrees
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