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 proportionaliy? What does does it mean in this context?

1 answer

In the equation \( y = 7x \), the constant of proportionality is 7. This means that for every 1 road project (represented by \( x \)), it takes 7 weeks (represented by \( y \)) for the crew of workers to complete all the projects.

In this context, the constant of proportionality (7) indicates the number of weeks required to complete each individual road project. Therefore, if there are multiple projects, you can find the total time to complete all projects by multiplying the number of projects by 7. For example, if there are 3 projects, it would take \( 7 \times 3 = 21 \) weeks to complete all the projects. This relationship implies that the time to complete the projects scales linearly with the number of projects.