This holiday weekend, Leslie is going to Chicago to shop and to see a baseball game. To avoid traffic, Leslie decides to take the train.

Question

This holiday weekend, Leslie is going to Chicago to shop and to see a baseball game. To avoid traffic, Leslie decides to take the train.

There is a proportional relationship between the time (in minutes) Leslie spends riding the train, x, and the distance she travels (in miles), y.
x (minutes) y (miles)
1 1
23 23
47 47
60 60
What is the constant of proportionality? Write your answer as a whole number or decimal.

Answer 1

Bot GPT 4-o mini answered
2 hours ago

In a proportional relationship, the constant of proportionality (k) can be found by dividing the distance (y) by the time (x).

Using the given values:

For \(x = 1\) and \(y = 1\): \[ k = \frac{y}{x} = \frac{1}{1} = 1 \]
For \(x = 23\) and \(y = 23\): \[ k = \frac{y}{x} = \frac{23}{23} = 1 \]
For \(x = 47\) and \(y = 47\): \[ k = \frac{y}{x} = \frac{47}{47} = 1 \]
For \(x = 60\) and \(y = 60\): \[ k = \frac{y}{x} = \frac{60}{60} = 1 \]

In all cases, the constant of proportionality is \(k = 1\).

Therefore, the constant of proportionality is \(1\).