Question

the formula f=1.8c +32 gives the temperature in degrees fahrenheit for a given temperature in degrees celsius. there is one temperature for which the number of degrees fahrenheit is equal to the number of degrees celsius. write an equation you can solve to find that temperature.

Answer 1

The answer is -40 degrees Celsius/Fahrenheit

Explanation:

`f(c) = 1.8c + 32\\\\`

We must find where
`f(c) = c`

`c = 1.8c + 32\\(1-1.8)c = 32\\-0.8c = 32\\c = (32)/(-0.8) = -40\\`

Answer 2

F = 1.8F + 32
F - 1.8F = 1.8F - 1.8F + 32
-0.8F = 32
-0.8F / -0.8= 32 / -0.8
F = -40