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. x (cans of black paint) | y (cans of white paint) 1 | 2 3 | 6 4 | 8 5 | 10 what is the constant of proportionality? write your answer as a whole number or decimal. \boxed{} cans of white paint per can of black paint

Explanation:

Step1: Recall proportionality formula

For a proportional relationship \( y = kx \), the constant of proportionality \( k=\frac{y}{x} \).

Step2: Calculate \( k \) using first pair

Take \( x = 1 \), \( y = 2 \). Then \( k=\frac{y}{x}=\frac{2}{1}=2 \).
Check with other pairs:

• For \( x = 3 \), \( y = 6 \): \( \frac{6}{3}=2 \).
• For \( x = 4 \), \( y = 8 \): \( \frac{8}{4}=2 \).
• For \( x = 5 \), \( y = 10 \): \( \frac{10}{5}=2 \). All give \( k = 2 \).

Answer:

2