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?(1 point)

Question

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?(1 point)

Responses

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 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 weeks to complete all of their road projects.

GPT-4o mini · Answer

The correct response is: **The constant of proportionality is 7. It takes the crew of workers 7 weeks to complete 1 road project.** In this context, the equation $ y = 7x $ indicates that for each road project ($ x $), it takes 7 weeks ($ y $) to complete that project. Thus, the constant of proportionality (7) signifies the time it takes to complete a single project.