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The temperature was -15 degrees celsius and rose to 5 degrees celsius. what was the change in temperature? the temperature was 5 degrees celsius and fell to -15 degrees celsius. what was the change in temperature?

a) 10°C
b) -10°C
c) 20°C
d) -20°C

1 Answer

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Final answer:

The temperature change from -15°C to 5°C and from 5°C to -15°C is both a 20°C change, making the correct answer choice c, 20°C. A decrease of 40.0°F equals a 22.2°C decrease. Any change in temperature in degrees Fahrenheit is nine-fifths of the change in Celsius degrees.

Step-by-step explanation:

The change in temperature from -15 degrees Celsius to 5 degrees Celsius is a rise of 20 degrees Celsius (choice c). This is calculated by subtracting the initial temperature from the final temperature (5 - (-15) = 20). The change in temperature from 5 degrees Celsius to -15 degrees Celsius is also a drop of 20 degrees Celsius (choice c), as the magnitude of change in temperature remains the same regardless of the direction of temperature change. Therefore, both temperature changes are 20°C, not 10°C, -10°C, or -20°C.

To answer the reference questions regarding a decrease of 40.0°F in Fahrenheit, the equivalent change in Celsius is calculated by subtracting the initial temperature from the final temperature and then converting the result to Celsius using the formula (F - 32) x 5/9. However, for a direct change in temperature, not specific temperatures, the conversion is done by multiplying the change by 5/9. Thus, a change in temperature by 40.0°F corresponds to a change of 40.0 x 5/9 = 22.2°C.

To show that any change in temperature in Fahrenheit is nine-fifths the change in Celsius degrees, you can use the formula F = (9/5)C + 32 for converting Celsius to Fahrenheit, thus for a change in temperature ΔF = (9/5)ΔC.

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