Question
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 1 road project.
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 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 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 correct response is:
The constant of proportionality is 7. It means that for every road project completed, it takes the crew of workers 7 weeks to finish.
The correct response is:
The constant of proportionality is 7. It takes the crew of workers 7 weeks to complete 1 road project.
The correct response is: The constant of proportionality is 7. It takes the crew of workers 7 weeks to complete 1 road project.
To understand how this answer was obtained, we need to look at the given equation y = 7x. In this equation, the number 7 represents the constant of proportionality.
To find the constant of proportionality, we compare the relationship between two variables. In this case, the variables are the number of road projects (x) and the number of weeks it takes to complete them (y). The equation tells us that for every 1 road project (x), it takes 7 weeks (y) to complete.
Therefore, the constant of proportionality is 7, which means that for every additional road project, the crew of workers will require an additional 7 weeks to complete all the projects.