Answer:
128 signs will be posted along the trail
Step-by-step explanation:
From the question,
The national park service is building a 16-mile trail and they will post a sign every 1/8 mile along the trail. To determine how many signs will be posted along the trail, we will divide the length of the trail by the distance in which one sign is to be posted from another.
The length of the trail = 16 mile
The distance in which one sign is to be posted from another = 1/8 mile
Hence,
Number of signs that will be posted along the trail = 16 mile ÷ 1/8 mile
= 16 × 8/1 = 128
Number of signs that will be posted along the trail = 128
This includes the sign that will be posted at the end of the trail.
Since there will not be a sign posted at the beginning of the trail, then
128 signs will be posted along the trail.