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The formula below gives the Fahrenheit temperature F in terms of the Celsius temperature C.

f=9/5C+32

a. Transform the formula to find the Celsius temperature in terms of the Fahrenheit temperature.

b. Use a calculator to find the equivalent Celsius temperature for a Fahrenheit temperature of 60ºF. Round your answer to the nearest tenth.

c. Use a calculator to find the equivalent Fahrenheit temperature for a Celsius temperature of 42ºC. Round your answer to the nearest tenth.

Respuesta :

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[tex]F=\dfrac{9}{5}C+32\\\\a.\ \dfrac{9}{5}C+32=F\ \ \ \ |-32\\\\\dfrac{9}{5}C=F-32\ \ \ |\cdot\dfrac{5}{9}\\\\C=\dfrac{5}{9}(F-32)[/tex]


[tex]F=60\to C=\dfrac{5}{9}(60-31)=\dfrac{5}{9}\cdot29\approx16.1\\\\\boxed{60^oF\approx16.1^oC}[/tex]


[tex]C=42\to F=\dfrac{9}{5}\cdot42+32=75.6+32=107.6\\\\\boxed{42^oC=107.6^oF}[/tex]

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