Final answer:
The slope of a mountain road with a 10-foot rise for a 494-foot run is found by dividing the rise by the run, resulting in a slope of approximately 0.0202 or 1/49.4, which is a dimensionless ratio.
Step-by-step explanation:
The student's question involves finding the slope of a mountain road, which is a concept in mathematics. Slope is calculated as 'rise over run', where the 'rise' refers to the change in height and the 'run' refers to the horizontal distance covered. In this instance, the rise is 10 feet and the run is 494 feet.
To calculate the slope of the mountain road, you divide the rise by the run:
Slope = Rise ÷ Run
We substitute the given values:
Slope = 10 ft ÷ 494 ft
The slope is therefore equal to approximately 0.0202 or 1/49.4. In mathematics, slope is dimensionless; it is just the ratio of the rise to the run and does not carry any units.