The National Park Service is a building a 16 Mile High control they will post a sign every 1/8 mile along the trail including one at the end there will not be a sign posted at the beginning of the trail how many signs will they post during the trail a 24 B2 c128 d88

1 answer

To determine how many signs will be posted along the 16-mile trail with a sign every 1/8 mile (including one at the end), we can follow these steps:

  1. Convert the total distance into eighths of a mile: \[ 16 \text{ miles} = 16 \times 8 = 128 \text{ eighths of a mile} \]

  2. Count the signs: Since there will be one sign at each 1/8 mile increment and one sign at the end (16 miles), the number of signs will be equal to the number of intervals between the signs plus the sign at the end.

    • The first sign at 1/8 mile through to the last sign at 16 miles will include the start of each 1/8 mile up to 128.
    • Therefore, we will have 128 individual increments, which means there are 128 signs total.

Thus, the answer is c) 128.