Let’s look at some exponential models! Advil has a half – life of 2 hours. If you take 1000 mg at 9 AM, how much will be left in your body.

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Presentation transcript:

Let’s look at some exponential models! Advil has a half – life of 2 hours. If you take 1000 mg at 9 AM, how much will be left in your body at 3 PM (when the makers of Advil recommend taking another dose)?

Let’s look at some exponential models! Advil has a half – life of 2 hours. If you take 1000 mg at 9 AM, how much will be left in your body at 3 PM (when the makers of Advil recommend taking another dose)? Will all of the Advil ever be gone? Why or why not?

Compounding Exponential Behavior! If rate > 1, the amounts are growing (like in a good investment)! If rate < 1, the amounts are shrinking (like how your liver works)! If rate = 1, we’re bored.

Let’s create some more exponential models! Is the growth of the USA over the past 100 years or so exponential? Let’s take a look!

Let’s create some exponential models! Is the growth of the USA over the past 100 years or so exponential? Let’s take a look! What’s a good model for this growth?

Let’s create some exponential models! Is the growth of the USA over the past 100 years or so exponential? Let’s take a look! What’s a good model for this growth? How about Central Oregon’s population?

Let’s create some exponential models! Is the growth of the USA over the past 100 years or so exponential? Let’s take a look! What’s a good model for this growth? How about the Central Oregon’s population? How about the world’s population?