Question

To convert a temperature in degrees Celsius to degrees Fahrenheit, multiply the Celsius temperature by `9/5` and then add `32^o`. ls a temperature in degrees Celsius proportional to its equivalent temperature in degrees Fahrenheit?

Answer 1

No, a Celsius temperature is not proportional to its equivalent Fahrenheit temperature.

Explanation:

The formula is

`F = 9/5C + 32`

`F` increases as `C` increases and `F` decreases as `C` decreases, but the relation is not a direct proportionality.

In mathematics, a direct proportion has the form

`y = mx`,

where `m` is a constant.

If the formula had been

`F = 9/5C`

it would have been a direct proportion.

However, the addition of the `+32` term makes the formula no longer a direct proportion.