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How does a temperature change of 1°F compare with a temperature change of 1°C?

A. A temperature change of 1°F is greater than a temperature change of 1°C.
B. A temperature change of 1°C is greater than a temperature change of 1°F.
C. They are the same.
D. They cannot be compared.

Sagot :

GinnyAnsweridn
To determine how a temperature change of 1°F compares with a temperature change of 1°C, we need to convert the temperature change from Fahrenheit to Celsius.

First, remember the formula for converting a change in temperature from Fahrenheit to Celsius:

[tex]\[ \Delta°C = (\Delta°F - 32) \times \frac{5}{9} \][/tex]

However, since we are dealing with a change in temperature, when converting 1°F change to Celsius, we use the simplified conversion formula:

[tex]\[ \Delta°C = \Delta°F \times \frac{5}{9} \][/tex]

Using this formula, we can convert a 1°F change to Celsius:

[tex]\[ 1°F \times \frac{5}{9} \approx 0.555555555556°C \][/tex]

Now, compare the temperature changes:
- 1°F change is approximately 0.5556°C
- 1°C change is 1°C

Clearly, 1°C is greater than 0.5556°C. Therefore, a temperature change of 1°C is greater than a temperature change of 1°F.

Thus, the correct answer is:

K A temperature change of 1°C is greater than a temperature change of 1°F.
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