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?

Question

a. 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 all of their road projects
c. the constant of proportionality is 7. It takes the crew of workers 7 weeks to complete 1 road project
d. the constant of proportionality is 7. It takes the crew of workers 7 days to complete all of their road projects

Answer 1

The equation \( y = 7x \) represents a direct relationship between the number of road projects \( x \) and the time in weeks \( y \) needed to complete those projects. In this equation, the constant of proportionality is 7.

In this context, the constant of proportionality indicates that for every road project, the crew takes 7 weeks to complete it. Therefore, the correct interpretation is:

c. the constant of proportionality is 7. It takes the crew of workers 7 weeks to complete 1 road project.