Final answer:
The slope of a roof that rises 8 feet for every horizontal change of 24 feet is 1/3. This represents a rise of 1 foot for every 3 feet of horizontal distance, corresponding to option a.
Step-by-step explanation:
The question asks us to find the slope of a roof that rises 8 feet for every horizontal change of 24 feet. The slope is defined as the ratio of the vertical rise to the horizontal run. In this case, the slope (m) can be calculated as:
m = rise/run
m = 8 feet/24 feet
m = 1/3
Therefore, the slope of the roof is 1/3, which means that for every 3 feet of horizontal distance, the roof rises 1 foot. This corresponds to option a, which is the mention correct option.