13. Exponential

Intro Question: Dice

Second Question: Bacteria

What is modeled well by:

• linear equations?

  • simple interest

  • constant changes in movement

• quadratic equations?

  • height formulas

  • distance something travels while in the air. (start with 45 degrees, go from there)

  • demand curves

• exponential equations?

  • • I have a lot of dice. Like, seriously, a lot. But we're going to add these dice in a very specific way (which we will change in class).

      • Can we create a model that will allow us to estimate the number of dice that we need?

      • Can we take this question and extrapolate further?

  • compound interest

  • populations (for now)

  • growth and decay