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?(1 point)

Responses

The constant of proportionality is 7. It takes the crew of workers 7 weeks to complete all of their road projects.
The constant of proportionality is 7. It takes the crew of workers 7 weeks to complete all of their road projects.

The constant of proportionality is 7. It takes the crew of workers 7 days to complete all of their road projects.
The constant of proportionality is 7. It takes the crew of workers 7 days to complete all of their road projects.

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

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

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

The constant of proportionality represents the ratio between the number of road projects and the number of weeks it takes to complete them. In this context, it means that for every 1 road project, it will take the crew of workers 7 weeks to complete it.

The correct response is:

The constant of proportionality is 7. It means that for every increase of 1 in the number of road projects, the crew of workers will take 7 weeks to complete all of their projects.

The constant of proportionality in this equation is 7. It represents the number of weeks it takes for the crew of workers to complete each road project. In other words, for every increase in the number of road projects by 1 unit, it will take the crew 7 weeks to complete that additional project. So, if there are 2 road projects, it will take 14 weeks to complete both projects. Similarly, if there are 3 road projects, it will take 21 weeks to complete all of them. Therefore, the constant of proportionality of 7 means that it takes the crew of workers 7 weeks to complete 1 road project.