FM.3.BTAII.19
Construct linear and exponential equations, 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
Find an explicit formula, , for the arithmetic sequence:
Fill in the blank:
The terms in pattern y are ____ times the terms in pattern x.
The terms in pattern y are ____ times the terms in pattern x.
| x | y |
|---|---|
| 8 | 4 |
| 12 | 6 |
| 16 | 8 |
Fill in the blank:
The terms in pattern y are _____ times the terms in pattern x.
The terms in pattern y are _____ times the terms in pattern x.
| x | y |
|---|---|
| 2 | 8 |
| 5 | 20 |
| 7 | 28 |
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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