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Multiple Choice
Place the following temperatures in order from coldest to hottest: 20°C, 36°C, 75°F, 94°F.
A
75°F, 94°F, 20°C, 36°C
B
20°C, 36°C, 75°F, 94°F
C
75°F, 20°C, 94°F, 36°C
D
20°C, 75°F, 36°C, 94°F
Verified step by step guidance
1
Identify the temperatures given in two different units: Celsius (°C) and Fahrenheit (°F). To compare them directly, convert all temperatures to the same unit, either °C or °F.
Use the conversion formula from Fahrenheit to Celsius: \(\displaystyle C = \frac{5}{9} (F - 32)\) to convert 75°F and 94°F to Celsius.
Calculate the Celsius equivalents for 75°F and 94°F by substituting into the formula: \(C_{75} = \frac{5}{9} (75 - 32)\) and \(C_{94} = \frac{5}{9} (94 - 32)\).
Now that all temperatures are in Celsius (20°C, 36°C, and the two converted values), compare their numerical values to determine the order from coldest to hottest.
Finally, list the original temperatures in order based on their relative Celsius values, ensuring the answer reflects the original units as requested.