Final answer:
Bobby will change bulbs in 38 light posts along the 4256-foot section of the road, as there are 37 sections of 112 feet between posts, plus the initial post at the start.
Step-by-step explanation:
To calculate how many bulbs Bobby will change, we need to find out how many light posts he will encounter on one side of a 4256-foot section of the road, with each light post being 112 feet apart. Since there's a light post both at the beginning and the end, we can consider the total distance as being divided into sections of 112 feet each.
Firstly, we subtract one light post width from the total length, since the first post is included in the beginning: 4256 feet - 112 feet = 4144 feet. We then divide the remaining length by the distance between the posts: 4144 feet / 112 feet ≈ 37 full sections of 112 feet between the posts. Finally, we add back the initial light post to get the total number of posts: 37 + 1 = 38 light posts.
Therefore, Bobby will change bulbs in 38 light posts.