The formula to convert ${ }^{\circ} F$ to ${ }^{\circ} C$ is $C =\frac{5}{9}(F-32)$. Convert $50^{\circ} C$ to ${ }^{\circ} F$.
A. $10^{\circ} F$
B. $20^{\circ} F$
C. $122^{\circ} F$
D. $132^{\circ} F$
Answer (2)
Substitute C = 50 into the formula C = 9 5 ( F − 32 ) .
Multiply both sides by 5 9 to get 90 = F − 32 .
Add 32 to both sides to isolate F : F = 90 + 32 .
Calculate F to find the temperature in Fahrenheit: 12 2 ∘ F .
Explanation
Understanding the Problem We are given the formula to convert Fahrenheit to Celsius: C = 9 5 ( F − 32 ) . We need to convert 5 0 ∘ C to Fahrenheit.
Substitution Substitute C = 50 into the formula: 50 = 9 5 ( F − 32 ) .
Multiply by 9/5 To solve for F , first multiply both sides of the equation by 5 9 : 5 9 × 50 = F − 32
Simplify Simplify the left side of the equation: 90 = F − 32
Add 32 Add 32 to both sides of the equation: F = 90 + 32
Calculate F Calculate the value of F : F = 122 Therefore, 5 0 ∘ C is equal to 12 2 ∘ F .
Examples
Temperature conversion is a common task in many real-world scenarios. For example, if you are traveling to a country that uses Celsius and you are used to Fahrenheit, you can use this formula to convert temperatures and understand the weather forecast. Similarly, in scientific research, it's often necessary to convert between temperature scales for accurate data analysis and comparison. Knowing how to convert between Celsius and Fahrenheit can help you in everyday life and in various professional fields.
To convert 5 0 ∘ C to Fahrenheit, we use the formula F = 5 9 C + 32 . Substituting C = 50 gives us F = 122 , making the answer 12 2 ∘ F , which is option C. This conversion is essential for understanding temperature in different contexts.
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