The equation y = 7x gives the relationship between the number of road 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

7 it takes the crew 7 weeks to complete all the projects
7 it takes the crew 7 days to complete 1 project
7 it takes the crew 7 days to complete all the projects
7 it takes the crew 7 weeks to complete 1 project

1 answer

The equation \( y = 7x \) describes a direct variation relationship where \( y \) is the total number of weeks it takes to complete \( x \) road projects. In this equation, the constant of proportionality is 7.

This means that for each additional road project (increasing \( x \) by 1), it takes an additional 7 weeks to complete that project.

Thus, in this context, the correct interpretation is:

7 it takes the crew 7 weeks to complete 1 project.

This suggests that the crew requires 7 weeks for each individual road project they work on.