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?
A temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of 5/9 degrees Celsius.
A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.
A temperature increase of 5/9
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

Answer:

D.) I and II only

Step-by-step explanation:

Think of the equation as an equation for a line .

y=mx+b

where in this case.

C =  5 /9  (F−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.) I and II only

__________________________________________

⋆✨Answered By CaliPure✨⋆  

✨Brainliest Will Be Appreciated✨  

✨If You Have Questions Ask In The Comment Box✨

Answer 2

Answer:

D) I and II only

Step-by-step explanation:

C = 5/9 (F−32)

C = (5/9)F - 160/9

Slope: 5/9

Change in C per unit change in F

(Therefore I)

A temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of 5/9 degrees Celsius.

C = 5/9 (F−32)

9C/5 + 32 = F

Slope: 9/5 = 1.8

Change in F per unit change in C

(Therefore II)

A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.