Question

Which of the following curves represents the relation between the Celsius and Fahrenheit scales?

• A.
• B.
• C.
• D.

Answer 1

The correct option is D

The relation between the two scales is given as -

$F=\left(\frac{9}{5}\right)C+32\Rightarrow C=\frac{5F}{9}-\frac{(32\times 5)}{9}.$

The slope of the line is $\frac{5}{9}$.

When the Fahrenheit scale reads zero, the reading of the Celsius scale is

$C=\frac{5\times 0}{9}-\frac{(32\times 5)}{9}=-{17.77}^{\circ }C$

$\therefore$ The slope is positive, and the line intercepts the negative y-axis; hence, (d) is correct.