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

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

`C=(F-32)/(1.8)`

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

`(F-32)/(1.8)=(1.8C)/(1.8)`

`(F-32)/(1.8)=C`

∴
`C=(F-32)/(1.8)`

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