The formula to convert ${ }^{\circ} F$ to ${ }^{\circ} C$ is $C=\frac{5}{9}(F-32)$.
Convert 50°C to °F.
The problem requires converting a given temperature from Celsius to Fahrenheit using the standard conversion formula \(C = \frac{5}{9}(F - 32)\). We are given that the temperature in Celsius is \(C = 50^\circ\text{C}\). Our objective is to find the equivalent temperature \(F\) in degrees Fahrenheit. We will rearrange the formula to isolate \(F\) and then calculate the result.
To find \(F\), we substitute \(C = 50\) into the formula:
\[50 = \frac{5}{9}(F - 32)\]
To isolate the expression \((F - 32)\), we multiply both sides of the equation by \(\frac{9}{5}\):
\[50 \times \frac{9}{5} = F - 32\]
Since \(50 \div 5 = 10\), the left side simplifies to:
\[10 \times 9 = F - 32\]
\[90 = F - 32\]
Finally, to solve for \(F\), add \(32\) to both sides of the equation:
\[F = 90 + 32 = 122\]
Thus, \(50^\circ\text{C}\) is equal to \(122^\circ\text{F}\).
Comparing our calculated result \(F = 122^\circ\text{F}\) with the given options:
The correct option is c. Therefore, the converted temperature is \(\boxed{122^\circ\text{F}}\).
Temperature conversion is essential in many practical situations, especially when traveling between countries that use different temperature scales. For example, if you are visiting the United States and the weather forecast says it is 122°F, knowing how to convert this to Celsius (\(50^\circ\text{C}\)) helps you understand if it is a hot, mild, or cold day, which is crucial for packing the right clothes or planning outdoor activities. Mastering this conversion allows you to communicate temperature data accurately regardless of the scale used.