Give an example where the concept of slope is used in real life. Describe the increase/decrease in the context of the example and why it is important in the real world.

Slope is an expression of how fast and the general direction increase or decrease of something changing. For example a roller coaster track's slope is a comparison between the change in vertical height verses the change in horizontal length. Another example is distance and time. Imagine a trip where you gather how far you drive and the time at each data point. When you plot both, you get the slope of your trip. The slope represents the speed you drove. Mathematically, SLOPE = (y2 - y1) / (x2 - x1) for any set of 4 pieces of data. where (y2 - y1) is the change in some " y " between point 2 and point 1. The same is true for (x2 - x1).

Slope is a measure of steepness. Some real life examples of slope include:

in building roads one must figure out how steep the road will be

.....skiers/snowboarders need to consider the slopes of hills in order to judge the dangers, speeds, etc

.....when constructing wheelchair ramps, slope is a major consideration.

....when building stairs, one must consider the slope of them so they are not too steep to walk on

There is the slope that measures how steep the road is. Sometimes people refer to this as the grade and express it as a percent. A 5% grade means a slope of 0.05, that is the rise is 5% of the run. Also roads have a crown in the middle, that is the centre of the road is higher than the shoulder. This is so that rain water will run off into the ditch or gutter. Most municipalities have specifications on how large this slope must be.

Jan 29th, 2015

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