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
D) I and II only

Answer 1

The final answer is D) I and II only

Explanation:

Think bout what the formula is

y=mx+b

in this case

the slope of the graph is

5/ 9 , which means that for an increase of 1.

C= 5 /9 (F)

C=

5 /9 (1)= 5 /9

Therefore, statement I is true. This is the equivalent to saying that an increase of 1 degree Celsius is equal to an increase of

9 /5 degrees Fahrenheit.

Statement II is also true since only answer that has both statement I and statement II as true is D, is not true since 25/81 not 1 degree.