Equations of Proportional Relationships Quick Check

2 of 52 of 5 Items
Question
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 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 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 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 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 correct response is: The constant of proportionality is 7. It takes the crew of workers 7 weeks to complete 1 road project.

The correct response is: The constant of proportionality is 7. It means that for every additional road project, it will take the crew of workers 7 weeks to complete all the projects.

The constant of proportionality in the given equation y=7x is 7. In this context, it means that for every increase of 1 in the number of road projects (x), it will take the crew of workers 7 weeks to complete all the projects (y). Therefore, the crew of workers takes 7 weeks to complete 1 road project.