Question

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 hour jacks crew works, x, and the total number of yards of pavement laid, y. y =

Explanation:

Step1: Identify the initial amount

Sanjay's crew laid 40 yards initially. So this is a constant term.

Step2: Identify the rate of change

Jack's crew lays 15 yards per hour. Let \( x \) be the number of hours. So the amount laid by Jack's crew is \( 15x \).

Step3: Form the equation

The total yards \( y \) is the sum of the initial amount and the amount laid by Jack's crew. So \( y = 40 + 15x \).

Answer:

\( 15x + 40 \) (or \( 40 + 15x \))