Final answer:
To determine the number of reflective markers needed for a 6 3/4 mile stretch of road with markers every 1/8 mile, divide the total mileage by the marker spacing to get 54, and then add one more marker for the end of the road, totaling 55 markers.
Step-by-step explanation:
The question involves finding out how many reflective markers are needed for a 6 3/4 mile stretch of road if the markers are spaced every 1/8 of a mile. To solve this, we first convert the mixed number 6 3/4 miles to an improper fraction, which is 27/4 miles.
Next, we divide this distance by the spacing of the markers, which is 1/8 mile. Therefore, we calculate 27/4 ÷ 1/8, which simplifies to 27 ÷ 4 × 8/1, and the result is 54. However, since we need a marker at both the beginning and the end of the road, we add one more to the total. Hence, 55 markers are required.