Accumulated Effect of a Rate Part 1

There's two equivalent ways of thinking about integrals:

As they are used in applications in science, engineering, business, etcetera, and
As an abstract mathematical concept.

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. To that end, let's take another look at the model of the rate of cars traveling along Route 15 in Johnson Vt. We used this model earlier 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)? 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.

Accumulated Effect of a Rate Part 1

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