Determine population using an exponential model

Determine population using an exponential model

In this lesson you will learn to determine a population by exploring an exponential model.

ADDITIONAL MATERIALS

STANDARDS

CCSS.HSF-IF.C.8.b Use the properties of exponents to interpret expressions for exponential functions. For example, identify percent rate of change in functions such as y = (1.02) to the 𝘵 power, 𝘺 = (0.97) to the 𝘵 power, 𝘺 = (1.01) to the 12𝘵 power, 𝘺 = (1.2) to the 𝘵/10 power, and classify them as representing exponential growth or decay.

TEKS.A1.9.C write exponential functions in the form 𝑓(𝑥) = 𝑎𝑏 to the 𝑥 power (where 𝑏 is a rational number) to describe problems arising from mathematical and real-world situations, including growth and decay;

IN.AII.EL.4 Use the properties of exponents to transform expressions for exponential functions (e.g., the expression 1.15^t can be rewritten as (1.15^1/12)^12t ≈ 1.012^12t to reveal the approximate equivalent monthly interest rate if the annual rate is 15%).

VA.F.AII.7.g connections between and among multiple representations of functions using verbal descriptions, tables, equations, and graphs;