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?
1.A temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of
5/9degree Celsius.
2.A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.
A temperature increase of 5/9degree 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
Please solve it
Answers
Answer:
Think of the equation as an equation for a line
y = mx + b
where in this case
c=5/9(F-32)
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.
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.
Step-by-step explanation:
Answer:
Hii
Step-by-step explanation:
So easy,You non sense