The equation y=7× 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 means in this context?
The constant of proportionality in this context is the number 7. It represents the number of weeks it takes for the crew of workers to complete one road project.
In this context, it means that for every one road project, it will take the crew of workers 7 weeks to complete it. The constant of proportionality establishes the linear relationship between the number of road projects and the number of weeks needed to complete them.
The constant of proportionality in the equation y = 7x is 7. In this context, it means that for every increase of 1 in the number of road projects (x), the number of weeks it takes to complete all the projects (y) will increase by a constant factor of 7. This indicates that it takes approximately 7 weeks to complete each road project.
To find the constant of proportionality in the equation y = 7x, we need to observe the relationship between the two variables. In this case, the equation states that the number of weeks, y, it takes to complete all the road projects is equal to 7 times the number of road projects, x.
The constant of proportionality is the number that relates the two variables in a direct proportion. In this equation, the constant of proportionality is 7. This means that for every one additional road project completed, it will take 7 weeks to finish all of the projects.
So, in this context, the constant of proportionality indicates how the number of road projects relates to the time it takes to complete them. Each additional road project requires an additional 7 weeks.