Transcription of Exponential Growth and Decay
1 W Z2J0b1X6w _KwuhtJay hSEo[fdtTwyaGrfeR sLOLVC[.^ M kAplnlx lrhiUgfhctMsf ` pMsaedae] GwsiXtqh\ ^IEnWfMiJnNihtxeg by Kuta Software LLCKuta Software - Infinite CalculusExponential Growth and DecayName_____Date_____ Period____Solve each Exponential Growth / Decay ) For a period of time, an island's populationgrows at a rate proportional to itspopulation. If the Growth rate is peryear and the current population is 1543,what will the population be years fromnow?2) During the Exponential phase, E. colibacteria in a culture increase in number at arate proportional to the current population .]
2 If the Growth rate is per minute andthe current population is million, whatwill the population be minutes fromnow?3) Radioactive isotope Carbon-14 decays at arate proportional to the amount present. Ifthe Decay rate is per thousand yearsand the current mass is mg, what willthe mass be thousand years from now?4) A savings account balance is compoundedcontinuously. If the interest rate is peryear and the current balance is $ , inhow many years will the balance reach$ ) A cup of coffee cools at rate proportional tothe difference between the constant roomtemperature of C and the temperatureof the coffee.
3 If the temperature of thecoffee was C minutes ago and thecurrent temperature of the coffee is C,what will the temperature of the coffee minutes from now?6) During the Exponential phase, E. colibacteria in a culture increase in number at arate proportional to the current population . If the population doubles in minutes, inhow many minutes will the populationtriple? j o2e0J1m6T fKzuNtmap DSao\frtZwXaPraez K NAclNlK er_iygphEtpsM i lMcaedNed qwNimtcho wI^nRfoiwnZiptqeN ]CZa^l\ by Kuta Software LLCKuta Software - Infinite CalculusExponential Growth and DecayName_____Date_____ Period____Solve each Exponential Growth / Decay ) For a period of time, an island's populationgrows at a rate proportional to itspopulation.
4 If the Growth rate is peryear and the current population is 1543,what will the population be years fromnow? e 2) During the Exponential phase, E. colibacteria in a culture increase in number at arate proportional to the current population . If the Growth rate is per minute andthe current population is million, whatwill the population be minutes fromnow? e million3) Radioactive isotope Carbon-14 decays at arate proportional to the amount present. Ifthe Decay rate is per thousand yearsand the current mass is mg, what willthe mass be thousand years from now?
5 E mg4) A savings account balance is compoundedcontinuously. If the interest rate is peryear and the current balance is $ , inhow many years will the balance reach$ yr5) A cup of coffee cools at rate proportional tothe difference between the constant roomtemperature of C and the temperatureof the coffee. If the temperature of thecoffee was C minutes ago and thecurrent temperature of the coffee is C,what will the temperature of the coffee minutes from now? eln C6) During the Exponential phase, E. colibacteria in a culture increase in number at arate proportional to the current population .
6 If the population doubles in minutes, inhow many minutes will the populationtriple? ln ln minCreate your own worksheets like this one with Infinite Calculus. Free trial available at
