Using the formula [tex]F = \frac{9}{5}C + 32[/tex], find the temperature in degrees Celsius for an oven that is 100°F.

Question

29-11-2023
Mathematics

High School

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Using the formula [tex]F = \frac{9}{5}C + 32[/tex], find the temperature in degrees Celsius for an oven that is 100°F.

Answer :

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Final answer:

To convert an oven temperature of 100°F to Celsius, subtract 32 from the Fahrenheit temperature and multiply the result by 5/9. This calculation yields a temperature of approximately 37.78°C.

Explanation:

To find the temperature of an oven in degrees Celsius when given a temperature of 100°F, we should use the formula that relates Fahrenheit and Celsius temperatures. This formula is F = (9/5)C + 32, where F represents the Fahrenheit temperature, and C the Celsius temperature. To solve for C, we need to rearrange the formula, which gives us the equation C = 5/9(F - 32).

Let's perform the calculation step by step:

Start with the given Fahrenheit temperature, which is 100°F.
Subtract 32 from the Fahrenheit temperature: 100 - 32 = 68.
Multiply this result by 5/9 to convert it to Celsius: 68 * 5/9 ≈ 37.78.

Thus, an oven temperature of 100°F is approximately 37.78°C.

The procedure of rearranging the conversion formula and plugging in values is a common mathematical process that demonstrates the relationship between different temperature scales. This process is crucial for converting temperatures between Fahrenheit and Celsius, which is especially useful for travelers or cooks using recipes from different countries.