Question

during class today, jeffreys teacher gives everyone time to write their short stories. jeffrey is proud of his story and wants to email it to his grandparents. so, after school he goes to the computer lab to type it. this table shows the relationship between the amount of time (in minutes) jeffrey types in the computer lab, x, and the total number of words he types, y.

x (minutes)	y (words)
4	264
8	528
9	594

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

Explanation:

Step1: Calculate the ratio for each pair

For the first pair ($x = 3,y = 198$), the ratio $\frac{y}{x}=\frac{198}{3}=66$.
For the second pair ($x = 4,y = 264$), the ratio $\frac{y}{x}=\frac{264}{4}=66$.
For the third pair ($x = 8,y = 528$), the ratio $\frac{y}{x}=\frac{528}{8}=66$.
For the fourth pair ($x = 9,y = 594$), the ratio $\frac{y}{x}=\frac{594}{9}=66$.

Step2: Check if ratios are equal

Since the ratio $\frac{y}{x}$ is equal to 66 for all pairs in the table.

Answer:

yes