Question

I will delete your answer if wrong.

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

D

Explanation:

equation is C= 5/9(F-32)

Answer 2

D

Explanation:

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

=+

y

=

m

x

+

b

where

=5/9(−32)

C

=

5

/

9

(

F

−

32

)

or

=5/9−5/9(32)

C

=

5

/

9

F

−

5

/

9

(

32

)

you can see the slope of the graph is 5/9

5

/

9

, which means that for an increase of 1 degree Fahrenheit, the increase is 5/9

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

9

/

5

degrees Fahrenheit. Since 95

9

5

= 1.8, statement II is true.

On the other hand, statement III is not true, since a temperature increase of 9/5

9

/

5

degrees Fahrenheit, not 5/9

5

/

9

degree Fahrenheit, is equal to a temperature increase of 1 degree Celsius.

The final answer is D.