If a walkway rises 2 ft for every 24 ft on the horizontal, which of the following express its sl

step 1 is given by a formula that is the ratio of the rise to the run. So we can figure out the slope u

If a walkway rises 2 ft for every 24 ft on the horizontal,...

If a walkway rises $2 \mathrm{ft}$ for every $24 \mathrm{ft}$ on the horizontal, which of the following express its slope (or grade)? (There are several correct choices.)
A. $12 \%$
B. $\frac{2}{24}$
C. $\frac{1}{12}$
D. 12
E. $8 . \overline{3} \%$
F. $\frac{24}{2}$

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Key Concepts

Percent Grade

The percent grade is a way of expressing the slope as a percentage, which is calculated by multiplying the slope (rise over run) by 100. This percentage shows the steepness of a path or road and is widely used in practical applications to communicate how inclined a surface is.

Fraction Simplification

Simplifying fractions involves reducing them to their simplest form by dividing the numerator and the denominator by their greatest common divisor. This process is important for clearly conveying ratios and ensuring equivalent expressions are recognized as such, which is fundamental in understanding and comparing slopes.

Slope (Rise over Run)

The slope of a line, often defined as the 'rise over run', quantifies how much something rises or falls for a given horizontal distance. In many contexts, such as in grading a walkway or road, it represents the change in vertical height divided by the horizontal length, and it serves as a critical measure in fields like engineering, architecture, and physics.

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