A1.F.LE.A.1.c
Recognize situations in which a quantity grows or decays by a constant factor per unit interval relative to another.
Example Problems
A colony of mold spores begins with 150 spores.
Every day, the colony doubles in size.
Write an exponential function that gives the total number of spores after days.
Every day, the colony doubles in size.
Write an exponential function that gives the total number of spores after days.
In 2020, a local food bank distributed 3,400 food boxes.
Each year, its distribution increases by 6.5%.
Write an exponential function that gives the number of food boxes B(t) distributed t years after 2020.
Each year, its distribution increases by 6.5%.
Write an exponential function that gives the number of food boxes B(t) distributed t years after 2020.
Joan opened an online storefront with initial sales of $2,500 per month.
Each month, her sales grow by a factor of 1.25.
Write an exponential function that gives the monthly sales after months.
Each month, her sales grow by a factor of 1.25.
Write an exponential function that gives the monthly sales after months.
Khan Academy ResourcesWarmup: exponential vs. linear growthExponential growth vs. decayGraphing exponential growth & decayGraphs of exponential growthExponential vs. linear modelsExponential vs. linear growth over timeLinear vs. exponential growth: from dataGraphing exponential growth & decayGraphs of exponential growthLinear vs. exponential growth: from dataExponential decay introExponential vs. linear models: verbalModeling with basic exponential functions word problemLinear vs. exponential growth: from data (example 2)
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