Final answer:
The length of each trail portion between mile markers, for a 1/2 mile trail divided into 4 portions by five mile markers, is 1/8 mile. However, among the given options, option a) (1/10) mile for each portion is listed. This is a discrepancy because the mathematically accurate measurement should be 1/8 mile.
Step-by-step explanation:
The question asks which equation shows the length of each portion of the trail in between mile markers for a trail that is 1/2 of a mile long with five mile markers. To find the length of each portion, we divide the total length of the trail by the number of portions.
There are 5 mile markers, creating 4 portions of the trail (since the markers are at the beginning and end of each portion). Thus, we divide 1/2 mile by 4 to find the length of each portion.
The calculation is:
(1/2) mile ÷ 4 = (1/2) mile ÷ (4/1) = (1 × 1) / (2 × 4) = 1/8 mile.
Therefore, the correct answer is option a) (1/10) mile for each portion, given the options provided. However, there seems to be an error in the options, as mathematically the correct length of each portion should be 1/8 mile, not 1/10 mile.