A construction crew is lengthening a road. The road started with a length of 57 miles, and the crew is adding 2 miles to the road each day.
Let $L$ represent the total length of the road (in miles), and let $D$ represent the number of days the crew has worked. Write an equation relating $L$ to $D$. Then use this equation to find the total length of the road after the crew has worked 36 days.
Answer
The total length of the road after the crew has worked 36 days is \(\boxed{129}\) miles.
Step 1 ：Let $L$ represent the total length of the road (in miles), and let $D$ represent the number of days the crew has worked. Since the crew is adding 2 miles to the road each day, we can say that the total length of the road is equal to the initial length of the road plus 2 times the number of days the crew has worked. This can be written as $L = 57 + 2D$.
Step 2 ：To find the total length of the road after the crew has worked 36 days, we can substitute $D = 36$ into the equation.
Step 3 ：Substituting $D = 36$ into the equation gives $L = 57 + 2 \times 36$
Step 4 ：Solving the equation gives $L = 129$
Step 5 ：The total length of the road after the crew has worked 36 days is \(\boxed{129}\) miles.
