Answer: D) I and II only
Explanation:
The equation
�
=
5
9
(
�
−
32
)
c=
9
5
(f−32) represents the conversion formula for converting temperatures between degrees Fahrenheit (F) and degrees Celsius (C).
To determine which statement is true, let's analyze the equation:
A temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of
5
9
9
5
degree Celsius.
This statement is true. When the temperature in Fahrenheit (F) increases by 1 degree, the equivalent increase in Celsius (C) can be calculated as
5
9
9
5
of a degree.
A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.
This statement is also true. To convert a temperature increase of 1 degree Celsius to Fahrenheit, we use the formula
�
=
9
5
�
+
32
f=
5
9
c+32. Substituting
�
=
1
c=1 into the equation gives
�
=
9
5
(
1
)
+
32
=
1.8
+
32
=
33.8
f=
5
9
(1)+32=1.8+32=33.8 degrees Fahrenheit.
Based on our analysis, both statements I and II are true. Therefore, the correct answer is:
D) I and II only