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 days to complete

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 given equation \( y = 7x \), the variable \( x \) represents the number of road projects, and \( y \) represents the number of weeks it takes to complete all the projects. The constant of proportionality, which is 7 in this case, indicates that for every road project, it takes 7 weeks to complete it. Therefore, if there is 1 road project, it takes 7 weeks; if there are 2 projects, it takes 14 weeks; and so on.