Question
The function $F$ described by $F(C)=\frac{9}{5} C+32$ gives the Fahrenheit temperature corresponding to the Celsius temperature $C .$ Find the Fahrenheit temperature equivalent to $-5^{\circ}$ Celsius.
Step 1
The formula is $F(C)=\frac{9}{5} C+32$. So, we replace $C$ with $-5$ to get $F(-5)=\frac{9}{5} \cdot(-5)+32$. Show more…
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$F(C)=\frac{9}{5} C+32$ gives the temperature in degrees Fahrenheit as a function of the temperature $C$ in degrees Celsius. Find an equation for $C(F)$ and interpret its meaning in the context of this problem.
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The function $C(F)=\frac{5}{9}(F-32)$ converts a temperature in degrees Fahrenheit, $F,$ to a temperature in degrees Celsius, $C$. The function $K(C)=C+273$ converts a temperature in degrees Celsius to a temperature in kelvins, $K$ (a) Find a function that converts a temperature in degrees Fahrenheit to a temperature in kelvins. (b) Determine 80 degrees Fahrenheit in kelvins.
Composite Functions
The formula for Celsius temperature in terms of Fahrenheit temperature is $$C=\frac{5}{9}(F-32)$$ Solve the equation for $F.$
Prerequisites
Linear Equations and Inequalities
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