A1.31
Use the mathematical modeling cycle to solve real-world problems involving linear, quadratic, exponential, absolute value, and linear piecewise functions.
Example Problems
The value of a stock increases by per year. If the initial value is , what will it be after 6 years?
A piece of machinery depreciates at a rate of per year. If the initial value is , what will it be worth after years?
A chemical sample decays at a rate of per day. If there are initially 250 mg, how much will remain after 7 days?
Khan Academy ResourcesWriting linear equations word problemsQuadratic word problems (standard form)Linear equations word problems: tablesLinear equations word problemsExponential vs. linear modelsSequences word problemsExponential expressions word problems (numerical)Features of quadratic functions: strategyQuadratic word problems (vertex form)Exponential vs. linear growth over timeLinear vs. exponential growth: from dataQuadratic word problems (factored form)Quadratic equations word problem: triangle dimensionsQuadratic word problem: ballIntro to exponential functionsQuadratic equations word problem: box dimensionsExamples finding the domain of functionsQuadratic word problems (vertex form)Sequences word problemsLinear vs. exponential growth: from dataExponential expressions word problems (numerical)Quadratic word problems (factored form)Exponential vs. linear models: verbalModeling with basic exponential functions word problemLinear vs. exponential growth: from data (example 2)Exponential expressions word problems (algebraic)Graph interpretation word problem: basketball

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