☁︎Answer Explanation

ANSWER EXPLANATION: Think of the equation as an equation for a line

y=mx+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 (whichis≠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.

☁︎Answer

D) I and II only

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