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=(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=(9)/(5)C+32`

Put C=0 and F=0.

`0=(9)/(5)(0)+32`

`0=0+32`

`0=32`

This statement is not true because
`0\\eq 32`.

Since, (0,0) did not satisfy the equation
`F=(9)/(5)C+32`, therefore, the given equation is not a proportional relationship.