Question

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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 59
A 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

Answer:

46 points thank you its a

Step-by-step explanation:

thank you for being nice

Answer 2

Answer:

Think of the equation as an equation for a line  y = m x + b  where in this case  C = 5 9 ( F − 32 )  or  C = 5 9 F − 5 9 ( 32 )  You can see the slope of the graph is  5 9 , which means that for an increase of 1 degree Fahrenheit, the increase is  5 9  of 1 degree Celsius.  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.  C = 5 9 ( F )  1 = 5 9 ( F )  ( F ) = 9 5  Since  9 5  = 1.8, statement II is true.  The only answer that has both statement I and statement II as true is D, but if you have time and want to be absolutely thorough, you can also check to see if statement III (an increase of  5 9  degree Fahrenheit is equal to a temperature increase of 1 degree Celsius) is true:  C = 5 9 ( F )  C = 5 9 ( 5 9 )  C = 25 81 ( which is ≠ 1 )  An increase of  5 9  degree Fahrenheit leads to an increase of  25 81 , not 1 degree, Celsius, and so Statement III is not true.  The final answer is D.