Road grade A local road has a grade of 6% . The grade of a...

Road grade A local road has a grade of 6$\% .$ The grade of a road is its slope expressed as a
percent.
(a) Find the slope of the road as a fraction and then simplify the fraction.
(b) What rise and run would reflect this slope or grade?

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Fraction Conversion

Converting a percentage to a fraction involves writing the percentage over 100 and then simplifying the fraction if possible. This process is essential for representing slopes in fractional form and allows for straightforward algebraic manipulation and comparison.

Rise and Run

The terms rise and run represent the vertical and horizontal components of a slope, respectively. Identifying the rise and run helps in understanding and designing physical inclines, such as roads, by illustrating how much elevation is gained or lost over a certain horizontal distance.

Percentage

A percentage is a way of expressing a number as a fraction of 100. It is a convenient method for comparing ratios and is widely used in various contexts, including expressing gradients or slopes, where the value indicates how many units of vertical change occur for each 100 units of horizontal change.

Slope

Slope is a measure of an incline’s steepness, calculated as the ratio of the vertical change (rise) to the horizontal change (run). In many practical applications, such as road grade, the slope is clearly expressed either as a simplified fraction or a percentage to indicate the steepness of the incline.

Transcript

Please give Ace some feedback