The formula C=5/9(F-32) expresses the relationship between Fahrenheit temperature, F, and Celsius temperature, C. In Exercises 17–18, use the formula to convert the given Fahrenheit temperature to its equivalent temperature on the Celsius scale. 50 °F
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Temperature Conversion
Temperature conversion involves changing a temperature value from one scale to another, such as from Fahrenheit to Celsius. The relationship between these two scales is defined by specific formulas, allowing for accurate conversions. Understanding how to manipulate these formulas is essential for solving problems related to temperature.
Linear Equations
The formula C = 5/9(F - 32) is a linear equation that represents a direct relationship between Fahrenheit and Celsius temperatures. In this equation, C is the dependent variable, while F is the independent variable. Recognizing the structure of linear equations helps in understanding how changes in one variable affect the other.
Substitution is the process of replacing a variable in an equation with a specific value to solve for another variable. In this context, substituting the given Fahrenheit temperature (50 °F) into the formula allows for the calculation of the corresponding Celsius temperature. Mastery of substitution is crucial for effectively using mathematical formulas.