Question

in the evenings when maura is relaxing, she likes to knit. with winter approaching, maura decides to knit some hats and deliver them to a homeless shelter. her hats come in different colors, but theyre all the same size. this table shows the relationship between the number of hats maura knits, x, and the length of yarn (in yards) she uses, y.

x (hats)	y (yards)
7	735
8	840
9	945

according to the values in the table, do x and y have a proportional relationship?
yes
no

Explanation:

Step1: Calculate ratio for each pair

For the pair $(6,630)$: $\frac{y}{x}=\frac{630}{6}=105$.
For the pair $(7,735)$: $\frac{y}{x}=\frac{735}{7} = 105$.
For the pair $(8,840)$: $\frac{y}{x}=\frac{840}{8}=105$.
For the pair $(9,945)$: $\frac{y}{x}=\frac{945}{9}=105$.

Step2: Check if ratios are equal

Since $\frac{y}{x}=105$ for all pairs in the table, the ratio of $y$ to $x$ is constant.

Answer:

yes