A local road has a grade of 4%. 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?

1/25th

a. The slope of the road as a fraction can be calculated by dividing the rise (vertical change) by the run (horizontal change). In this case, the rise is 4 and the run is 100, since the grade is given as a percentage. Therefore, the slope as a fraction is 4/100. Simplifying this fraction, we get 1/25.

b. To reflect this slope or grade, the rise would be 1 unit (since the numerator is 1 in the simplified fraction) and the run would be 25 units (since the denominator is 25 in the simplified fraction). So, for every 1 unit of height increase, the road would travel 25 units horizontally.

To find the slope of a road as a fraction, you first need to understand that the slope is the ratio of the vertical change (rise) to the horizontal change (run) between any two points on the road. In this case, we know that the grade of the road is expressed as a percent, which represents the vertical change per 100 units of horizontal change.

a. To find the slope of the road as a fraction, let's assume a horizontal distance of 100 units (run). The percent grade of 4% means that there is a vertical change (rise) of 4 units for every 100 units of horizontal change (run). So, the slope can be represented as 4/100.

To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 4. Dividing 4/100 by 4 gives us 1/25. Therefore, the slope of the road can be simplified to 1/25.

b. Now, let's determine the rise and run that reflect this slope or grade. Since the slope is 1/25, it means that for every one unit of rise, there are 25 units of run horizontally. So, the rise can be represented as 1 and the run as 25.

In conclusion, the slope of the road as a fraction is 1/25, and the rise and run that reflect this slope or grade are 1 unit of rise and 25 units of run horizontally.

A mountain road rises 10 feet for a 494-foot run. What is its slope? Enter a fraction.

slope=4/100=.04

rise of 2 feet per run of 50 feet.