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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

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

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

3.The constant of proportionality is 7. It takes the crew of workers 7 days to complete all of their road projects.
3.The constant of proportionality is 7. It takes the crew of workers 7 days to complete all of their road projects.

4.The constant of proportionality is 7. It takes the crew of workers 7 weeks to complete all of their road projects.
4.The constant of proportionality is 7. It takes the crew of workers 7 weeks to complete all of their road projects.

1 answer

The correct response is:

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

In the equation \( y = 7x \), the constant of proportionality is 7, which indicates that for every specific number of road projects \( x \), it takes 7 weeks to complete each project. Thus, if there are 1 project, it takes 7 weeks; for 2 projects, it takes 14 weeks, and so forth. This makes the relationship between the number of projects and the time it takes to complete them directly proportional.