Question

When you mix two colors of paint in equivalent ratios, the resulting color is always the same. What is the constant of proportionality for this relationship?

a) 1:2
b) 2:1
c) 1:1
d) 2:2

Answer 1

The correct constant of proportionality when two colors of paint are mixed in equivalent ratios is c. 1:1, signifying an equal amount of each color to achieve a uniform result.

Step-by-step explanation:

When mixing two colors of paint in equivalent ratios, the resulting color should be a perfectly blended mixture. In mathematics and specifically in the study of proportions, the constant of proportionality represents the constant factor that relates two quantities that are directly proportional.

Given that two colors are mixed in equivalent ratios to produce a new color, the constant of proportionality would indeed be the ratio in which the colors are mixed to maintain the same color output.

Looking at the options provided, we need to find the ratio that signifies equivalence between the two quantities being mixed.

The correct option here is c) 1:1, which indicates that for every part of color A, there is an equivalent part of color B being mixed, resulting in a consistent and intended new color. This 1:1 ratio is the hallmark of direct proportionality where the constant of proportionality is '1'.