Question

The equation F=9/5 + 32 relates temperature measured in degrees Celsius, C, to degrees Fahrenheit, F. Determine whether there is a proportional relationship between C and F

Answer 1

Given:

The equation that represents the relation between degrees Fahrenheit, F, and degrees Celsius, C.

$F=\dfrac{9}{5}C+32$

To find:

Whether it is a proportional relationship or not.

Solution:

If y is proportional to x, then

$y\propto x$

$y=kx$

where, k is constant of proportionality.

It means, the proportional relationship is in the form of $y=kx$ and (0,0) satisfy it.

We have,

$F=\dfrac{9}{5}C+32$

Put C=0 and F=0.

$0=\dfrac{9}{5}(0)+32$

$0=0+32$

$0=32$

This statement is not true because $0\neq 32$.

Since, (0,0) did not satisfy the equation $F=\dfrac{9}{5}C+32$, therefore, the given equation is not a proportional relationship.