The equation y = 7x gives the relationship between the number of road projects, a, 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)
A. The constant of proportionality is 7. It takes the crew of workers 7 weeks to complete all of their road projects.
B. The constant of proportionality is 7. It takes the crew of workers 7 weeks to complete 1 road project.
C. The constant of proportionality is 7. It takes the crew of workers 7 days to complete all of their road projects.
D. The constant of proportionality is 7. It takes the crew of workers 7 days to complete 1 road project.
B. The constant of proportionality is 7. It takes the crew of workers 7 weeks to complete 1 road project.
The correct answer is B. The constant of proportionality is 7. It means that for every 1 road project, it takes the crew of workers 7 weeks to complete that project.
To find the constant of proportionality, let's look at the given equation y = 7x. In this equation, 7 is multiplied by x to determine the value of y.
Now, let's analyze the options:
A. If the constant of proportionality is 7, it means that for every increase in the number of road projects (a), the number of weeks (y) it takes the crew to complete all projects is 7.
B. If the constant of proportionality is 7, it means that it takes the crew of workers 7 weeks to complete 1 road project.
C. If the constant of proportionality is 7, it means that it takes the crew of workers 7 days to complete all of their road projects. (Note: The original equation is given in weeks, not days, so this option is not correct.)
D. If the constant of proportionality is 7, it means that it takes the crew of workers 7 days to complete 1 road project. (Note: The original equation is given in weeks, not days, so this option is not correct.)
Therefore, the correct option would be A. The constant of proportionality is 7. It takes the crew of workers 7 weeks to complete all of their road projects.