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
degree 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

GOOD LUCK LOL

Answer 1

D) I and II only

Explanation:

C=5/9*(F−32)

change of 1deg. in F = 5/9deg. change in C

conversely

change of 1deg. in C = 9/5=1.8deg. change in F

so I n II is true

III 5/9deg in F = 5/9*5/9 = 25/81deg. change in C <> 1deg

so III is false

ans is D) I and II only

Answer 2

D) I and II only

Explanation:

C= 5/9(F−32)

If F goes up 1 degree (33 degrees)

C= 5/9(33−32)

C = 5/9 *1 = 5/9

So the first 1 is true

If C goes up 1 degree

1= 5/9(F−32)

Multiply each side by 9/5

9/5 = 9/5 * 5/9 (F-32)

9/5 = (F-32)

1.8 = F-32

Add 32 to each side

33.8 =F

The change from 33.8 to 32 is 1.8 degrees F so 2 is true

If F goes up 5/9 degree

C= 5/9(5/9)

C = 25/49

False