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 projects, y.

Question

What is the constant of proportionality? What does it mean in the 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.

Answer 1

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

In the context of the relationship described by the equation \( y = 7x \), the constant of proportionality (7) indicates that for every road project (represented by \( x \)), it takes 7 weeks (represented by \( y \)) to complete that project. Therefore, if there are multiple projects, the total time will be 7 weeks multiplied by the number of projects.