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 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 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.

1 answer

The correct response is:

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

In this context, the equation \( y = 7x \) indicates that for each road project \( x \), it takes the crew of workers 7 weeks \( y \) to complete it. Therefore, if there is 1 project, it will take 7 weeks; for 2 projects, it will take 14 weeks, and so on.