Equations of Proportional Relationships Quick Check
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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 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 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 response options are repetitive, but the correct answer is that the constant of proportionality is 7 and it means that for each additional road project, it takes the crew of workers 7 weeks to complete all of the projects.
I apologize for the mistake. The correct response is:
The constant of proportionality is 7. It means that for each additional road project, it takes the crew of workers 7 weeks to complete that particular project.
The correct answer is: The constant of proportionality is 7. It means that for every additional road project, it takes the crew of workers 7 weeks to complete.
The correct response is: The constant of proportionality is 7. It takes the crew of workers 7 weeks to complete 1 road project.
To find the constant of proportionality, you need to look at the equation y=7x. In this equation, the coefficient 7 represents the constant of proportionality. It tells us the relationship between the number of road projects, x, and the number of weeks it takes the crew to complete the projects, y.
So, in this context, the constant of proportionality of 7 means that for every 1 road project, it takes the crew of workers 7 weeks to complete it.