The equation y = 7x Gives the relationship between the number of road projects, x, and the number of weeks it takes a crew of workers to complete all the projects =, y. What is the constant of proportionality? What does it mean in this context?

The constant of proportionality is 7. It takes the crew of workers 7 days to complete 1 road project.

The constant of proportionaliy os 7. It takes the crew of workers 7 weeks to complete all of teir road projects.

The constant of proportionality is 7. it takes the crew of workers 7 weeks to complete 1 road project

1 answer

The correct interpretation of the constant of proportionality in the equation \( y = 7x \) is:

The constant of proportionality is 7. It takes the crew of workers 7 weeks to complete 1 road project.

In this context, the equation indicates that for every road project (represented by \( x \)), it takes 7 weeks (represented by \( y \)) to complete that project. Hence, if you have \( x \) number of road projects, the total time \( y \) in weeks needed to complete all of them is calculated by multiplying the number of projects by 7.