In the metric system of weights and measures, temperature is measured in degrees Celsius (°C) instead of degrees Fahrenheit (°F). To convert between the two systems, we use the equations. C =5/9 (F-32) and F = 9/5C+32. In each exercise, convert to the other system. Round answers to the nearest tenth of a degree if necessary. 50°F

Verified step by step guidance

1. Identify the given temperature in Fahrenheit: 50°F.
2. Use the conversion formula from Fahrenheit to Celsius: $C=\frac{5}{9}(F-32)$.
3. Substitute the given Fahrenheit value into the formula: $C=\frac{5}{9}(50-32)$.
4. Simplify the expression inside the parentheses: $50-32=18$.
5. Multiply $\frac{5}{9}$ by 18 to find the temperature in Celsius.

Key Concepts

Temperature Conversion

Temperature conversion involves changing a temperature value from one scale to another, such as from Fahrenheit to Celsius or vice versa. The formulas used for these conversions are derived from the linear relationship between the two scales, allowing for accurate transformations based on specific reference points.

Linear Equations

The equations used for temperature conversion, C = 5/9 (F - 32) and F = 9/5C + 32, are linear equations. These equations represent straight-line relationships, where the slope and intercept define how one variable changes in relation to another, which is essential for understanding how to manipulate and solve them.

Rounding Numbers

Rounding numbers is the process of adjusting a numerical value to a specified degree of precision, often to simplify calculations or present results clearly. In this context, rounding to the nearest tenth means adjusting the temperature value to one decimal place, which is important for clarity and accuracy in reporting temperature conversions.