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Question

Which of the lines in the figure represents the relation between Celsius and Fahrenheit temperatures?


A
A
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B
B
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C
C
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D
D
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Solution

The correct option is A A
We know that relation between Celsius (C) and Fahrenheit (F) scales is given by
C100=F32180
C=F180×10032180×100
C=59F1609 ..........(1)
On comparing (1) with equation of straight line, y=mx+c,
Slope of line, m=59 which is positive
& y intercept, c=1609 which is negative


We can see that the slope of line A is positive and also its y intercept is negative.
Therefore, line A correctly represents the relation between Celsius and Fahrenheit temperatures.

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