There's two equivalent ways of thinking about [b]integrals[/b]: [br][br][list=1][*]As they are used in applications in science, engineering, business, etcetera, and [/*][*]As an abstract mathematical concept. [/*][/list][br]We're going to stick to the first way of thinking about integrals for a while, and then later, we'll zero in on the second one. In fact, we'll use the first way to help us understand the second way.[br][br]To that end, let's take another look at the model of the rate of cars traveling along Route 15 in Johnson Vt. We [url=https://www.geogebra.org/m/x39ys4d7#material/zdrhsxcx]used this model earlier[/url] to identify the busiest and quietest times of the day on Route 15. I now ask the question: can you use the model to produce an estimate of the total number of cars that travel along Route 15 between minute 360 (6am) and minute 960 (4pm)? [br][br]Don't overthink this. All it takes is a few "samples" of the model, and some basic arithmetic. Feel free to get some scratch paper out and and perform a few basic calculations. (Hint: If you multiply a measurement of the cars-per-minute traveling on the road times a number of minutes, you will get a count of the number of cars.)

Move forward to see what I had in mind.