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question no one



C=59(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 59 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 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:

Option D: I and II only

Step-by-step explanation:

The equation of graph of temperature is

y=mx+b

where

C=5/9(F−32)

or C=5/9F−5/9(32)

So ΔC=5/9 ΔF

So case I

ΔF=1

ΔC=5/8*1=5/9°

So option I is true

Case II

ΔC=1

SO ΔF=9/5*ΔC

=9/5*1=1.8 °F

So option II is true

Case III:

ΔF=5/9

ΔC=5/9ΔF

=5/*9*5/9=25/81 which is wrong

So option III is false

Correct answer is  Option D: I and II only

Answer 2

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