Nebra 1 Write a linear function: word problems HWM Sanjay and his paving crew laid 40 yards of new pavement. Jack and his crew just took over, and they can lay 15 yards of new pavement per hour. Write an equation that shows the relationship between the number of hours Jack's crew works, \( x \), and the total number of yards of pavement laid, \( y \). \[ y=\square \] Submit

To establish the relationship between the hours Jack's crew works and the total pavement laid, we can derive the equation from the information provided. Since Jack's crew lays 15 yards of pavement per hour, we can express this in a linear function format: \[ y = 15x \] This equation means that for every hour \( x \) that Jack's crew works, they will lay 15 yards of pavement, resulting in a total \( y \) yards laid. Now, if you're looking to visualize this problem or explore more situations involving linear equations, consider how different rates would change the equation. For instance, what if Jack's crew could lay 20 yards instead? Adjusting the coefficient on \( x \) would lead to a new equation, reinforcing how small changes can affect outcomes dramatically!