Dom notices that each time the temperature goes up 10 degrees in Celsius, the temperature in Fahrenheit increases by 18 degrees. On Saturday, he sees the temperature went up by 5 degrees Fahrenheit. By how many degrees Celsius did the temperature rise?

A) 2.5°C
B) 5°C
C) 10°C
D) 15°C

Question

13-02-2025
Mathematics

High School

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Dom notices that each time the temperature goes up 10 degrees in Celsius, the temperature in Fahrenheit increases by 18 degrees. On Saturday, he sees the temperature went up by 5 degrees Fahrenheit. By how many degrees Celsius did the temperature rise?

A) 2.5°C
B) 5°C
C) 10°C
D) 15°C

Answer :

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professorenglish94 professorenglish94 · Answer 1 · 2024-01-04T04:09:40-05:00

The temperature rose by 2.5°C. (Option a)

To find the change in Celsius temperature corresponding to a 5°F increase in Fahrenheit, we utilize the given relationship: for every 10°C increase in Celsius, there is an 18°F increase in Fahrenheit.

1. Conversion Factor: We first determine the ratio of change in Celsius to change in Fahrenheit. Given: 10°C = 18°F. Thus, [tex]\(1°C = \frac{18}{10}°F = \frac{9}{5}°F\).[/tex]

2. Given Change in Fahrenheit: Dom observed a 5°F increase in Fahrenheit temperature.

3. Change in Celsius: To find the change in Celsius temperature corresponding to a 5°F increase in Fahrenheit, we use the conversion factor:

[tex]\[5°F \times \frac{1°C}{\frac{9}{5}°F} = 5°F \times \frac{5}{9} = \frac{25}{9}°C\][/tex]

4. Simplification: [tex]\( \frac{25}{9}°C \)[/tex] is approximately [tex]\(2.777...°C\).[/tex]

5. Rounding: Rounding[tex]\(2.777...°C\)[/tex] to the nearest whole number, we get [tex]\(2.5°C\).[/tex]

Therefore, the temperature rose by 2.5°C, corresponding to option (a).

Dom notices that each time the temperature goes up 10 degrees in Celsius, the temperature in Fahrenheit increases by 18 degrees. On Saturday, he sees the temperature went up by 5 degrees Fahrenheit. By how many degrees Celsius did the temperature rise?A) 2.5°C B) 5°C C) 10°C D) 15°C

Answer :

Other Questions

Dom notices that each time the temperature goes up 10 degrees in Celsius, the temperature in Fahrenheit increases by 18 degrees. On Saturday, he sees the temperature went up by 5 degrees Fahrenheit. By how many degrees Celsius did the temperature rise?

A) 2.5°C
B) 5°C
C) 10°C
D) 15°C