Question

This holiday weekend, Dave is going to Chicago to shop and see a baseball game. To avoid traffic, Dave decides to take the train. There is a proportional relationship between the time (in minutes) Dave spends riding the train, x, and the distance he travels (in miles), y. x (minutes) y (miles) 8 8 10 10 13 13 14 14 What is the constant of proportionality? Write your answer as a whole number or decimal. miles per minute

Answer 1

k= 1 mile per minute

Explanation:

There is a proportional relationship between the time (in minutes) Dave spends riding the train, x, and the distance he travels (in miles), y.

The table representing this information is given below:

`\left|\begin{array}c$x (minutes) & 8 &10&13&14 \\$y (miles) & 8 &10&13&14 \end{array}\right|`

The equation of proportionality is given as: y=kx

When x=8, y=8

Substituting we have:

8=8k

Divide both sides by 8

k=1

Therefore, the constant of proportionality, k= 1 mile per minute