Question

The formula F = 1.8C + 32 allows you to find the Fahrenheit (F) temperature for a given Celsius (C) temperature. Solve the equation for C to produce a formula for finding the Celsius temperature for a given Fahrenheit temperature

Answer 1

Answer:

The formula to calculate the Celsius temperature for a given Fahrenheit temperature is:

$C=\frac{F-32}{1.8}$

Step-by-step explanation:

Given formula:

$F=1.8C+32$

where $F$ represents temperature in Fahrenheit and $C$ represents  temperature in Celsius.

To solve the equation for $C$.

Solution:

We have,

$F=1.8C+32$

Subtracting both sides by 32.

$F-32=1.8C+32-32$

$F-32=1.8C$

Dividing both side by 1.8

$\frac{F-32}{1.8}=\frac{1.8C}{1.8}$

$\frac{F-32}{1.8}=C$

∴ $C=\frac{F-32}{1.8}$

Using the above formula, we can calculate the Celsius temperature for a given Fahrenheit temperature.