Answered

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

Verified Answer :

AL2006


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.

Answer:

\(C = 1.8C + 32\)

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

Step-by-step 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

⇒\(C = \frac{-32}{0.8}\)

⇒\(C = 40^{\circ}\)

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.

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