Question

Of the following approximate conversions of Celsius into Fahrenheit, which is most accurate?

a. 24°C 75.9°F
b. 2°C 35.8°F
c. 34°C 92.7°F
d. 13°C 55.0°F

Answer 1

option (b) is more accurate.

Explanation:

Given some temperature in °C and °F.

We have to check out of given option which is most accurate conversion.

We check of conversion one by one ,

We know the relationship between the temperature in degrees Celsius, C, and degrees Fahrenheit is

`F=(9)/(5)C+32`

1) 24°C and 75.9°F

We substitute the values of degree Celsius and find for degree Fahrenheit.

`F=(9)/(5)C+32`

`F=(9)/(5)(24)+32`

`F=75.2`

2) 2°C and 35.8°F

We substitute the values of degree Celsius and find for degree Fahrenheit.

`F=(9)/(5)C+32`

`F=(9)/(5)(2)+32`

`F=35.6`

3) 34°C and 92.7°F

We substitute the values of degree Celsius and find for degree Fahrenheit.

`F=(9)/(5)C+32`

`F=(9)/(5)(34)+32`

`F=93.2`

4) 13°C and 55°F

We substitute the values of degree Celsius and find for degree Fahrenheit.

`F=(9)/(5)C+32`

`F=(9)/(5)(13)+32`

`F=55.4`

Thus, out of given options , option (b) is more accurate.