Question

The equation Y = 7x gives the relationship between the number of road projects X and the number of Weights it takes a crew of workers to complete all the projects why what is the cost of proportionality what does it mean in this context a the constant of proportionality is seven it takes the crew of work or 7 weeks to complete all the road projects be the constant of proportionality is seven it takes the crew of workers 7 days to complete one road project C the constant of proportionality is 7 it takes the crew of workers 7 days to complete all of their road projects D the constant of proportionality is seven it takes the crew of workers seven ways to complete one road project

Answer 1

The equation \( Y = 7X \) indicates a direct proportional relationship between the number of road projects \( X \) and the time (in weeks) \( Y \) it takes to complete those projects.

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

D: the constant of proportionality is seven; it takes the crew of workers 7 weeks to complete one road project.

This means if they have 1 road project, it takes 7 weeks. If they have 2 projects, it takes 14 weeks, and so forth, following the relationship described by the equation.