SOLUTION: The formula for converting Fahrenheit temperature, F, to Celsius temperature, C is C= 5/9(F-32). If Celsius temperature ranges from 15 to 35, inclusive, what is the range for the

Algebra ->  Inequalities -> SOLUTION: The formula for converting Fahrenheit temperature, F, to Celsius temperature, C is C= 5/9(F-32). If Celsius temperature ranges from 15 to 35, inclusive, what is the range for the      Log On


   

Question 596122: The formula for converting Fahrenheit temperature, F, to Celsius temperature, C is C= 5/9(F-32).
If Celsius temperature ranges from 15 to 35, inclusive, what is the range for the Fahrenheit temperature?
teacher said inequality problem, answer will finish in the middle
Answer by math-vortex(648) About Me  (Show Source):
You can put this solution on YOUR website!
Hi, there--
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Here is how to set this up as an in equality:
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Let C%5B1%5D be the lower Celsius temperature and C%5B2%5D be the higher Celsius temperature. Then we can write the double inequality,
C%5B1%5D%3C=%285%2F9%29%28F-32%29%3C=C%5B2%5D.
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Now we solve this for F. We are given C%5B1%5D=15 and C%5B2%5D=35, so
15%3C=%285%2F9%29%28F-32%29%3C=35
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Multiply each part of the inequality by 9/5 since 9/5*5/9=1.
15%2A%289%2F5%29%3C=%28F-32%29%3C=35%289%2F5%29
27%3C=%28F-32%29%3C=63
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Add 32 to each part of the inequality to isolate F.
59%3C=F%3C=95
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The Fahrenheit temperature ranges from 59 to 95 degrees, inclusive.
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I hope this helps. Feel free to email any questions about the solution.
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Ms. Figgy,l
math.in.the.vortex@gmail.com