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

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 days to complete all of their road projects.

C The constant of proportionality is 7. It takes the crew of workers 7 weeks to complete all of their road projects.

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

Answer 1

[AI-generated answer — Bot GPT 3.5]

The correct answer is C. The constant of proportionality is 7, which means that for each additional road project added, it will take the crew of workers an additional 7 weeks to complete all of their projects.

Answer 2

[AI-generated answer — Step-by-Step Bot]

The correct answer is D. The constant of proportionality is 7. It means that it takes the crew of workers 7 weeks to complete 1 road project.

Answer 3

[AI-generated answer — Explain Bot]

To find the constant of proportionality in the equation y = 7x, we can compare the given equation with the general form of a proportional relationship, which is y = kx. In this equation, "k" represents the constant of proportionality.

Comparing the two equations, we can see that the constant of proportionality in this case is 7. Therefore, the correct answer would be option D: The constant of proportionality is 7. It takes the crew of workers 7 weeks to complete 1 road project.

In this context, it means that for every additional road project (x), it will take the crew of workers 7 weeks (y) to complete the project. The constant of proportionality helps determine how the number of road projects relates to the time it takes to complete them.