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math question C=
5
9
(F−32)
The equation above shows how temperature F, measured in degrees Fahrenheit, relates to a temperature C, measured in degrees Celsius. Based on the equation, which of the following must be true?
A temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of
5
9
degree Celsius.
A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.
A temperature increase of
5
9
degree Fahrenheit is equivalent to a temperature increase of 1 degree Celsius.
A) I only
B) II only
C) III only

Respuesta :

Answer:

D) I and II only

Explanation:

The equation which related Fahrenheit to Celsius is given as:

[tex]C= \frac{5}{9}(F-32)[/tex]

Testing (I)

For F = 32, C = 0

For F = 33, C = 5/9

For F = 34, C = (2)(5/9)

Hence, Statement (I) is correct

Testing (II)

For C = 0, F = 32

For C = 1

[tex]1=\frac{5}{9}(F-32)\\\frac{9}{5}=F-32\\F=\frac{9}{5}+32\\F=33.8[/tex]

As F₂ - F₁ = 33.8 - 32 = 1.8 , Statement (II) is correct

Testing (III)

As it contradicts with Statement (I), and Statement (I) was found correct, Statement (III) is incorrect

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