Chapter 15, Problem 13SP

To determine

An equation to convert Fahrenheit degrees into Celsius degrees.

Answer to Problem 13SP

Solution:

$\text{Celsius temperature}=\frac{5}{9}\left[\left(\text{Fahrenheit temperature}\right)-32\right]$

Explanation of Solution

Given data:

Refer to the equation provided by equation number 15.1 in the textbook.

Formula used:

Write the expression for Fahrenheit temperature related to the Celsius temperature:

$\text{Fahrenheit temperature}=\frac{9}{5}\left(\text{Celsius temperature}\right)+32$

Explanation:

Recall the expression for Fahrenheit temperature is related to the Celsius temperature:

$\text{Fahrenheit temperature}=\frac{9}{5}\left(\text{Celsius temperature}\right)+32$

Rearrange the expression in terms of Celsius temperature to Fahrenheit temperature:

$\text{Celsius temperature}=\frac{5}{9}\left[\left(\text{Fahrenheit temperature}\right)-32\right]$

Celsius temperature measured in Celsius degrees and Fahrenheit temperature measured in Fahrenheit degrees.

Conclusion:

An equation to convert Fahrenheit degrees into Celsius degrees is

$\text{Celsius temperature}=\frac{5}{9}\left[\left(\text{Fahrenheit temperature}\right)-32\right]$.