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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 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 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. .
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 constant of proportionality (7) indicates that for each road project (x), it takes the crew of workers 7 weeks (y) to complete that project. Hence, if there are multiple projects, the total time taken will be directly proportional to the number of projects.
