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

The correct answer 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 1 increase in the number of road projects (x), it takes the crew of workers 7 weeks to complete all of their road projects (y).

To determine the constant of proportionality in the equation y = 7x, we look at the coefficient of x, which is 7. In this context, the constant of proportionality represents the ratio between the number of road projects, x, and the number of weeks it takes for the crew of workers to complete all the projects, y.

Therefore, the correct response is: The constant of proportionality is 7. It means that it takes the crew of workers 7 weeks to complete all of their road projects.