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 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.

This means that for each road project x, it takes the crew 7 weeks to complete it. Thus, if there are x projects, the total time in weeks it will take to complete all the projects is 7 times x (which is expressed in the equation y = 7x).