Answer to Question #248742 in Physics for Mayka

Question

As a physicist, you are tasked to head the committee that will make a creative and interesting;

(a) a new system of units to describe something that interest you. Your unit should be described using at least two subunits. For example, you can decide to measure the quality of songs using a new unit called song awesomeness. Song awesomeness is measured and by: the number of songs downloaded and the number of times the song was used in movies. 

(b) create an equation that shows how to calculate your unit. Then using your equation, create a sample dataset that you could graph. Are your two subunits related linearly, quadratically, or inversely? Your output must be designed to apply scientific reasoning and critical thinking using physics principles. 

Answer 1

(a) The new system of units is Colorness, it shows how many different colors n there are in a digital picture per resolution of the picture N.

(b) The equation is

$$C=\frac nN,\\\space\\ n=CN.$$

The dependence is linear: