what is the function for finding the temperature decline at a distance? I am doing an experiment for the relationship between the temperature detected and distance from light bulb. I have created a graph for this that is curved downwards and now I now wish to have a formula where i put in a distance and I get the temperature?

Note that a light bulb puts out energy in the form of light. Temperature is a measure of the energy that an object has. So the actual temperature of the object is going to depend on things like how much of the light it absorbs and what the surrounding temperature is.

You want to note that the energy the light bulb is putting out each second is expanding into a greater and great area.

This means that the energy is more ‘diluted’ the further you are from the light bulb.

The power that an object absorbs is inversely proportional the square of its distance from the source.

P?1/R²

This by the way, is because the area of a sphere is DIRECTLY proportional to the square of its radius.

A?R²

If I’m not mistaken, the equation that will fit your data is

T?1/R² or T = constant x 1/R²