Which of the curves in the figure (23-Q1) represents the relation between Celsius and Fahrenheit temperatures?

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Solution

(a)

Celsius and Fahrenheit temperatures are related in the following way:
$C = \frac{5}{9} F - \frac{160}{9}$
Here, F = temperature in Fahrenheit
C = temperature in Celsius
If this equation is plotted on the graph, then the curve will be represented by curve 'a' lying in the fourth quadrant with slope 5/9.
So, the correct option is (a).

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$\frac{F - 32}{9} = \frac{C}{5}$

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