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? 1.A temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of 59 degree Celsius. 2.A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit. 3.A temperature increase of 59 degree Fahrenheit is equivalent to a temperature increase of 1 degree Celsius. give me me the correct explanation of this question ,i will mark his answer as brainliest.

Answer 1

Answer:

Step-by-step explanation:

If you think of the equation as an equation for a line.

y=mx+b

where

C=5/9(F−32)

or

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.