AI.F-IF.C.8.b: Use the properties of exponents to interpret expressions for exponential functions. Apply to financial situations such as identifying appreciation and depreciation rate for the value of a house or car some time after its initial purchase: V_n = P(1+r)^n. For example, identify percent rate of change in functions such as y = (1.02)^t, y = (0.97)^t, y = (1.01)^12t, and y = (1.2)^(t∕10), and classify them as representing exponential growth or decay.

Use the properties of exponents to interpret expressions for exponential functions. Apply to financial situations such as identifying appreciation and depreciation rate for the value of a house or car some time after its initial purchase: V_n = P(1+r)^n. For example, identify percent rate of change in functions such as y = (1.02)^t, y = (0.97)^t, y = (1.01)^12t, and y = (1.2)^(t∕10), and classify them as representing exponential growth or decay.

Example Problems
has the same value as what % of 48?
has the same value as what % of 70?
has the same value as what % of 80?
Khan Academy Resources
Rewrite exponential expressionsInterpret time in exponential modelsEquivalent forms of exponential expressionsInterpret change in exponential models: changing unitsInterpret change in exponential models: with manipulationInterpret change in exponential modelsInterpreting change in exponential modelsInterpreting change in exponential models: changing unitsInterpreting time in exponential modelsInterpreting change in exponential models: with manipulationRewriting exponential expressions as A⋅BᵗEquivalent forms of exponential expressions
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