SOLUTION: Boiling point and elevation. the elevation E, in meters, above sea level at which the boiling point of water is t degrees Celsius is given by function E(t) = 1000(100-t) + 580(100

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Question 97441This question is from textbook
: Boiling point and elevation. the elevation E, in meters, above sea level at which the boiling point of water is t degrees Celsius is given by function
E(t) = 1000(100-t) + 580(100-t)^2.
At what elevation is the boiling point 99.5 degrees? 100 degrees? This question is from textbook

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
"At what elevation is the boiling point 99.5 degrees? "

E%28t%29+=+1000%28100-t%29+%2B+580%28100-t%29%5E2 Start with the given function

E%2899.5%29=+1000%28100-99.5%29+%2B+580%28100-99.5%29%5E2 Plug in t=99.5


E%2899.5%29+=+1000%280.5%29+%2B+580%280.5%29%5E2 Combine like terms


E%2899.5%29+=+1000%280.5%29+%2B+580%280.25%29 Square 0.5 to get 0.25


E%2899.5%29+=+500+%2B+145 Multiply


E%2899.5%29+=+645 Add


So the elevation is 645 meters


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"At what elevation is the boiling point 100 degrees? "

E%28t%29+=+1000%28100-100%29+%2B+580%28100-100%29%5E2 Start with the given function

E%28100%29=+1000%28100-100%29+%2B+580%28100-100%29%5E2 Plug in t=100


E%28100%29+=+1000%280%29+%2B+580%280%29%5E2 Combine like terms


E%28100%29+=+1000%280%29+%2B+580%280%29 Square 0 to get 0


E%28100%29+=+0+%2B+0 Multiply


E%28100%29+=+0 Add


So the elevation is 0 meters