business is booming for lenas house cleaning service, clean your scene, and she needs to hire more house…

business is booming for lenas house cleaning service, clean your scene, and she needs to hire more house cleaners. this table shows the relationship between the number of new house cleaners lena hires, x, and the total number of houses her company can clean per week, y. x (new house cleaners) y (total houses) 2 28 6 44 17 88 19 96 according to the values in the table, do x and y have a proportional relationship? yes no

business is booming for lenas house cleaning service, clean your scene, and she needs to hire more house cleaners. this table shows the relationship between the number of new house cleaners lena hires, x, and the total number of houses her company can clean per week, y. x (new house cleaners) y (total houses) 2 28 6 44 17 88 19 96 according to the values in the table, do x and y have a proportional relationship? yes no

Answer

Explanation:

Step1: Recall proportional - relationship definition

Two variables $x$ and $y$ have a proportional relationship if $\frac{y}{x}=k$ (constant).

Step2: Calculate $\frac{y}{x}$ for each pair

For the first pair $(x = 2,y = 28)$, $\frac{y}{x}=\frac{28}{2}=14$. For the second pair $(x = 6,y = 44)$, $\frac{y}{x}=\frac{44}{6}=\frac{22}{3}\approx7.33$. Since $14\neq\frac{22}{3}$, the ratio $\frac{y}{x}$ is not constant.

Answer:

no