Problem
Converting between temperatures in Fahronheit and Cetsius To raise money for charity, Frank and some friends are hiking across the continent of Asia. While out on the trail one day, one of his American friends asks Frank for the temperature. He glances at his precision sports watch and sees that the temperature is $-5.4{ }^{\circ} \mathrm{C}$. What is this temperature in degrees. Fahrenheit ( $\left.{ }^{\circ} \mathrm{F}\right)$ ? Use the given formulas as necessary, and round your answer to the nearest tenth of a degree. Formulas: $C=\frac{5}{9}(F-32)$ $F=\frac{9}{5} C+32$
Solution
Step 1 ：Substitute \(C=-5.4\) into the formula \(F=\frac{9}{5} C+32\)
Step 2 ：Calculate \(F=\frac{9}{5} (-5.4)+32\)
Step 3 ：First, calculate \(\frac{9}{5} (-5.4)=-9.72\)
Step 4 ：Then, add 32 to the result: \(F=-9.72+32\)
Step 5 ：Finally, we get \(F=22.28\)
Step 6 ：So, the temperature in Fahrenheit is approximately \(\boxed{22.3}\) degrees when rounded to the nearest tenth of a degree.
