SOLUTION: The formula for converting Celsius temperature, C, to Fahrenheit temperature,F, is F=9/5C+32. If Fahrenheit temperature ranges from -85degrees to 50degress,inclusive, what is the

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: The formula for converting Celsius temperature, C, to Fahrenheit temperature,F, is F=9/5C+32. If Fahrenheit temperature ranges from -85degrees to 50degress,inclusive, what is the       Log On

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Question 159238: The formula for converting Celsius temperature, C, to Fahrenheit temperature,F, is F=9/5C+32.
If Fahrenheit temperature ranges from -85degrees to 50degress,inclusive, what is the range for the Celsius temperature?
Answer by gonzo(654) About Me  (Show Source):
You can put this solution on YOUR website!
let f represent degrees in fahrenheit scale.
let c represent degrees in celsius scale.
f+=+%289%2F5%29%2Ac+%2B+32
solve for c
%289%2F5%29%2Ac+=+f+-+32
this is the same as %289%2Ac%2F5%29+=+f+-32
9%2Ac+=+5%2A%28f-32%29
c+=+%285%2A%28f-32%29%2F9%29
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fahrenheit ranges from -85 degrees to +50 degrees.
-85 degrees in celsius = %285%2A%28%28-85%29-32%29%29%2F9
this becomes %285%2A%28-117%29%29%2F9
this becomes -65 degrees celsius.
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+50 degrees in celsius = %285%2A%28%28%2B50%29-32%29%2F9%29
this becomes %285%2A%2818%29%29%2F9
this becomes 10 degrees celsius.
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-85 degrees fahrenheit to +50 degrees fahrenheit becomes
-65 degrees celsius to 10 degrees celsius.
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to prove the answer, solve back to fahrenheit.
-65 degrees celsius * 9/5 = -117 + 32 = -85 degrees fahrenheit
+10 degrees fahrenheit * 9/5 = 18 + 32 = 50 degrees fahrenheit.
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conversion back to fahrenheit checks out.
answer is -65 degrees celsius to 10 degrees celsius.