this holiday weekend, jon is going to chicago to shop and to see a baseball game. to avoid traffic, jon…

this holiday weekend, jon is going to chicago to shop and to see a baseball game. to avoid traffic, jon decides to take the train. this table shows the relationship between the time (in minutes) jon spends riding the train, x, and the distance he travels (in miles), y. according to the values in the table, do x and y have a proportional relationship? yes no
Answer
Explanation:
Step1: Calculate the ratio of y to x for each pair
For (x = 1,y = 1), the ratio is (\frac{y}{x}=\frac{1}{1}=1). For (x = 30,y = 30), the ratio is (\frac{y}{x}=\frac{30}{30}=1). For (x = 49,y = 49), the ratio is (\frac{y}{x}=\frac{49}{49}=1). For (x = 60,y = 60), the ratio is (\frac{y}{x}=\frac{60}{60}=1).
Step2: Check if the ratios are equal
Since for all pairs of (x) and (y) values in the table, the ratio (\frac{y}{x}) is equal to (1) (a constant value).
Answer:
yes