Question

King High School has asked Rhianna to paint some murals around the school, and Rhianna is thrilled! Her mural in the main office will show a ray of sunlight breaking through storm clouds. Rhianna creates the perfect gray for storm clouds. There is a proportional relationship between the number of cans of black paint, x, and the number of cans of white paint, y, Rhianna mixes together. What is the constant of proportionality?

x (cans of black paint) y (cans of white paint)
1 2
3 6
4 8
5 10

Answer 1

The constant of proportionality is 2, as each increase in the number of cans of black paint (x) corresponds to a doubling in the number of cans of white paint (y).

In the given data, there is a proportional relationship between the number of cans of black paint (x) and the number of cans of white paint (y) that Rhianna mixes together for her mural. Looking at the values provided, we can observe that for every increase in the number of cans of black paint, the number of cans of white paint doubles.

For example, when x is 1, y is 2; when x is 3, y is 6; when x is 4, y is 8; and when x is 5, y is 10. This consistent doubling pattern indicates a proportional relationship, and the constant of proportionality is determined by the ratio of the corresponding values of y and x. In this case, the constant of proportionality is 2, as each increase in the number of cans of black paint results in a doubling of the number of cans of white paint.