A-SSE.B.3.c
Use the properties of exponents to transform expressions for exponential functions. For example, 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%.
Example Problems
A viral social‑media post is gaining views.
The relationship between elapsed time t (in minutes) and the view count V(t) is modeled by
Every hour, the number of views increases by what factor? (Round to two decimal places.)
The relationship between elapsed time t (in minutes) and the view count V(t) is modeled by
Every hour, the number of views increases by what factor? (Round to two decimal places.)
The resale value of a particular car model depreciates after purchase.
The relationship between elapsed time t (in months) and the car's value V(t) (in dollars) is modeled by
Every year, the value decays by what factor? (Round to two decimal places.)
The relationship between elapsed time t (in months) and the car's value V(t) (in dollars) is modeled by
Every year, the value decays by what factor? (Round to two decimal places.)
A young redwood tree grows taller each year.
The relationship between elapsed time (in years) and the tree height (in meters) is modeled by
Every 5 years, the height increases by what factor? (Round to two decimal places.)
The relationship between elapsed time (in years) and the tree height (in meters) is modeled by
Every 5 years, the height increases by what factor? (Round to two decimal places.)
Khan Academy ResourcesRewrite 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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