business is booming for kathleens house cleaning service, clean your scene, and she needs to hire more house…
business is booming for kathleens 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 kathleen hires, x, and the total number of houses her company can clean per week, y. x (new house cleaners) y (total houses) 5 48 10 73 12 83 15 98 according to the values in the table, do x and y have a proportional relationship? yes no
Answer
Explanation:
Step1: Recall proportional - relationship condition
For a proportional relationship between (x) and (y), the ratio (\frac{y}{x}) should be constant.
Step2: Calculate (\frac{y}{x}) for each pair
For (x = 5,y = 48), (\frac{y}{x}=\frac{48}{5}=9.6). For (x = 10,y = 73), (\frac{y}{x}=\frac{73}{10}=7.3). For (x = 12,y = 83), (\frac{y}{x}=\frac{83}{12}\approx6.92). For (x = 15,y = 98), (\frac{y}{x}=\frac{98}{15}\approx6.53).
Step3: Check constancy of ratios
Since the ratios (\frac{y}{x}) are not the same for all pairs of (x) and (y) values.
Answer:
no