Final answer:
The slope of the ramp is calculated by dividing the vertical change (rise) by the horizontal change (run), which in this case is 1.75 feet of rise over 25 feet of run. Simplifying this, the slope of the ramp is approximately 1/14.
Step-by-step explanation:
The slope of the ramp can be calculated by understanding that slope is the rise over the run. The rise is the vertical change and the run is the horizontal change. Given the problem, the wheelchair ramp rises 1.75 feet for every 25 feet of horizontal distance.
To find the slope, we divide the rise by the run:
Slope = rise / run = 1.75 feet / 25 feet
To simplify this fraction, we can divide both the numerator and the denominator by the greatest common factor, which in this case is 1.75:
Slope = (1.75 / 1.75) feet / (25 / 1.75) feet = 1 / (25 / 1.75)
Slope = 1 / (14.28571...)
The slope of the ramp, when expressed as a simplified fraction, is approximately:
Slope = 1/14.28571... ≈ 1/14