Final answer:
The correct representation of the slope of a hill that rises 45 feet for every 100 feet horizontally is option D. 45/100, which is the ratio of the rise to the run.
Step-by-step explanation:
The slope of a hill which rises 'ft' for every horizontal 'ft' is determined by the ratio of the vertical rise to the horizontal run. In mathematical terms, the slope (m) is the rise divided by the run. For the given hill which rises 45 feet for every 100 feet of horizontal distance, the slope would be calculated as 45 feet divided by 100 feet, which simplifies to a fraction. Therefore, the slope of the hill is C. 100/45 when expressed as the vertical rise over the horizontal run. Yet, since in the question we're given that the hill rises 45 feet for every 100 feet, the correct answer should be D. 45/100, which is the rise over run and represents the hill's slope or grade.