C=59(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 59 degree Celsius.
B. temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.
C. temperature increase of 59 degree Fahrenheit is equivalent to a temperature increase of 1.8 degrees Fahrenheit.
Answers
C=5/9F−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. 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. Since 95 = 1.8, statement II is true.
On the other hand, statement III is not true, since a temperature increase of 9/5 degrees Fahrenheit, not 5/9 degree Fahrenheit, is equal to a temperature increase of 1 degree Celsius.
The final answer is D.
Answer:
If you think of the equation as an equation for a line.
y=mx+by=mx+b
where
C=5/9(F−32)C=5/9(F−32)
or
C=5/9F−5/9(32)C=5/9F−5/9(32)
you can see the slope of the graph is 5/95/9, which means that for an increase of 1 degree Fahrenheit, the increase is 5/95/9 of 1 degree Celsius. Therefore, statement I is true.
This is the equivalent to saying that an increase of 1 degree Celsius is equal to an increase of 9/59/5 degrees Fahrenheit. Since 9595 = 1.8, statement II is true.
On the other hand, statement III is not true, since a temperature increase of 9/59/5 degrees Fahrenheit, not 5/95/9 degree Fahrenheit, is equal to a temperature increase of 1 degree Celsius.
The final answer is D