Question

The formula

F = 1.8C + 32 gives the temperature
in degrees Fahrenheit (F ) for a given
temperature in degrees Celsius (C ). 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 and
then use it to find the temperature

Answer 1

`C = 1.8C + 32`

40° is the temperature for which the number of degrees Fahrenheit is equal to the number of degrees Celsius.

Explanation:

Given : F = 1.8C + 32 gives the temperature in degrees Fahrenheit (F ) for a given temperature in degrees Celsius (C ).

To Find: 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 and then use it to find the temperature.

Solution :

Given Formula : F = 1.8C + 32

If number of degrees Fahrenheit is equal to the number of degrees Celsius

Then ,
`C = 1.8C + 32`

⇒ -0.8C =32

⇒
`C = (-32)/(0.8)`

⇒
`C = 40^(\circ)`

Thus The equation we can use to find the temperature for which the number of degrees Fahrenheit is equal to the number of degrees Celsius:

`C = 1.8C + 32`

40° is the temperature for which the number of degrees Fahrenheit is equal to the number of degrees Celsius.

Answer 2

Yes, that's an interesting exercise.

The Celsius temp is ' C ' .

The Fahrenheit temp is 1.8C + 32

If they're the same number, then C = 1.8C + 32

Subtract 1.8C from each side: -0.8C = 32

Multiply each side by -1 : 0.8C = -32

Divide each side by 0.8 : C = -32/0.8 = -40 .

-40°F and -40°C are the same temperature.