Question

The equation f equals 9/5 C + 32 relates temperature measured in degrees celsius C to degrees Fahrenheit f Determine whether there is a proportional relationship between C and F explain your reason

Answer 1

Given:

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

where, F is degree Fahrenheit and C is degree Celsius.

To find:

Whether there is a proportional relationship between C and F.

Solution:

We know that, proportional relations is defined as

`y\propto x`

`y=kx`

where, k is constant of proportionality.

So, the line of proportional relationship passes through (0,0) and the equation must be true for (0,0).

If there is a proportional relationship between C and F, then the equation must be true for (0,0).

Substituting F=0 and C=0 in the given equation, we get

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

`0=0+32`

`0=32`

This statement is false because
`0\\eq 32`.

It means the line of given equation does not passes through (0,0). So, it s not a proportional relationship.

Hence, there is not a proportional relationship between C and F.