Question

bella likes to make lemonade using the lemons from her grandmothers trees. this table shows the relationship between the number of pitchers of lemonade bella wants to make, x, and the number of lemons she needs, y.

x (pitchers)	y (lemons)
6	42
7	49
8	56

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

Explanation:

Step1: Calculate the ratio of y to x for each pair.

For the first pair ($x = 3,y = 21$), $\frac{y}{x}=\frac{21}{3}=7$.
For the second pair ($x = 6,y = 42$), $\frac{y}{x}=\frac{42}{6}=7$.
For the third pair ($x = 7,y = 49$), $\frac{y}{x}=\frac{49}{7}=7$.
For the fourth pair ($x = 8,y = 56$), $\frac{y}{x}=\frac{56}{8}=7$.

Step2: Check if the ratios are equal.

Since the ratio $\frac{y}{x}$ is equal to 7 for all pairs in the table.

Answer:

yes