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 (1)
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 = 122 , so the answer is 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 ∘ F .
Isolating F To convert Celsius to Fahrenheit, we need to solve for F in terms of C . We have C = 9 5 ( F − 32 ) .
Substitution Substitute C = 50 into the equation: 50 = 9 5 ( F − 32 ) .
Multiply by 9/5 Multiply both sides of the equation by 5 9 : 5 9 × 50 = F − 32
Simplification Simplify the left side of the equation: 90 = F − 32
Adding 32 Add 32 to both sides of the equation: F = 90 + 32
Final Calculation Calculate the value of F: F = 122 Therefore, 5 0 ∘ C is equal to 12 2 ∘ F .
Examples
Understanding temperature conversions is useful in many real-life situations. For example, when traveling to a country that uses a different temperature scale, you can easily convert temperatures to understand the weather forecast. Also, many recipes provide temperatures in both Celsius and Fahrenheit, so knowing how to convert between the two is essential for cooking and baking.
