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)

Question

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 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.

Answer 1

The correct response is:

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

In the context of the equation \(y = 7x\), the constant of proportionality (which is 7) indicates that for each road project (x), it takes the crew of workers 7 weeks to complete that individual project. Thus, if they have \(x\) projects, the total time will be \(7x\) weeks.