Fahrenheit temperature to Celsius temperature, find the temperature in degrees Celsius if it is -148 degrees Fahrenheit. -100 degrees Celsius -80 degrees Celsius -178.2 degrees Celsius -324 degrees Celsius
Given the linear model: C(F) = \frac{5}{9}(F – 32) which is used to convert Fahrenheit temperature to Celsius temperature, find the temperature in degrees Celsius if it is -148 degrees Fahrenheit. -100 degrees Celsius -80 degrees Celsius -178.2 degrees Celsius -324 degrees Celsius
The Correct Answer and Explanation is:
To convert -148 degrees Fahrenheit to degrees Celsius, we use the formula:C(F)=59(F−32)C(F) = \frac{5}{9}(F – 32)C(F)=95(F−32)
Substitute F=−148F = -148F=−148:C=59(−148−32)=59(−180)=−100∘CC = \frac{5}{9}(-148 – 32) = \frac{5}{9}(-180) = -100^\circ \text{C}C=95(−148−32)=95(−180)=−100∘C
Correct answer: -100 degrees Celsius
Explanation
Temperature is a measure of how hot or cold something is. The two most commonly used scales are Fahrenheit and Celsius. Fahrenheit is mainly used in the United States, while Celsius is used in most other countries and in scientific work. To compare or convert between the two, we use a standard conversion formula.
The formula C=59(F−32)C = \frac{5}{9}(F – 32)C=95(F−32) allows us to change a temperature value from the Fahrenheit scale to the Celsius scale. In this formula, FFF is the temperature in Fahrenheit and CCC is the temperature in Celsius. The expression F−32F – 32F−32 adjusts for the fact that the Fahrenheit scale starts its freezing point at 32 degrees, unlike the Celsius scale which starts freezing at 0 degrees. After subtracting 32, we multiply by 59\frac{5}{9}95 to account for the difference in the size of each degree on the two scales. One degree on the Celsius scale represents a larger temperature change than one degree on the Fahrenheit scale.
In this particular case, we are given a temperature of -148 degrees Fahrenheit. Plugging this into the formula, we subtract 32 to get -180. Then we multiply -180 by 59\frac{5}{9}95, which equals -100. This means that -148 degrees Fahrenheit is exactly equal to -100 degrees Celsius.
Understanding this conversion is helpful in many real-life situations, such as reading international weather reports, cooking using foreign recipes, or working in science labs that require temperature readings in a consistent unit.
