M.TMS.36
Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table).
Example Problems
A small farm has 120 hens. Each month, the farm acquires 5 additional hens.
Which kind of function (exponential, linear, or neither) best models the relationship between time and the number of hens?
Which kind of function (exponential, linear, or neither) best models the relationship between time and the number of hens?
Tanya has a valuable stamp collection worth .
Each decade the collection's value increases by .
Which kind of function (exponential, linear, or neither) best models the relationship between time and the collection's value?
Each decade the collection's value increases by .
Which kind of function (exponential, linear, or neither) best models the relationship between time and the collection's value?
A newly discovered star has an initial brightness of 500 lumens.
Each month, the star's brightness decreases by .
Which kind of function (exponential, linear, or neither) best models the relationship between time and the star's brightness?
Each month, the star's brightness decreases by .
Which kind of function (exponential, linear, or neither) best models the relationship between time and the star's brightness?
Khan Academy ResourcesLogarithm change of base rule introWriting slope-intercept equationsIntro to slope-intercept formSolving exponential equations using logarithmsSlope reviewSlope-intercept form reviewSlope-intercept introExponential model word problemsSlope-intercept from two pointsSolve exponential equations using logarithms: base-2 and other basesSlope from graphSolve exponential equations using logarithms: base-10 and base-eLinear models word problemsSlope-intercept equation from graphEvaluate logarithms: change of base ruleConstruct exponential modelsSlope-intercept equation from graphSlope-intercept form problemsWorked example: slope from graphSlope of a horizontal lineSlope-intercept equation from slope & pointSlope-intercept equation from two pointsEvaluating logarithms: change of base ruleConstructing exponential models: percent changeConstructing exponential models: half lifeSolving exponential equations using logarithms: base-10Linear functions word problem: icebergLinear functions word problem: paintExponential model word problem: bacteria growthExponential model word problem: medication dissolvePositive & negative slopeTwo-variable linear equations introIntro to slope-intercept formSolving exponential equations using logarithms: base-2Constructing exponential modelsIntro to slope

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