Question

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

Answer 1

D) I and II only

Step-by-step explanation:

The equation which related Fahrenheit to Celsius is given as:

`C= (5)/(9)(F-32)`

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

`1=(5)/(9)(F-32)\\(9)/(5)=F-32\\F=(9)/(5)+32\\F=33.8`

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