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 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 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 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 the context of the equation \( y = 7x \), this means that for each road project (represented by \( x \)), it takes 7 weeks (represented by \( y \)) to complete that project. Thus, as the number of road projects increases, the total time taken (in weeks) increases proportionally based on this constant.
