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Exponential Function Solving - Decay (Continuous, Mis-matched Time Units) Equation to Rate

Level 1

The topics in this unit focus on mastering exponential growth and decay functions. Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

WorksheetView

Exponential Function Solving - Decay (Continuous, Mis-matched Time Units) Equation to Rate Worksheet

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Exponential Function Solving - Decay (Continuous, Mis-matched Time Un...
1
Solve for the rate given this model of a continuous reduction of a toxin concentration?
A LaTex expression showing 209 =300 times e to the power of (-r times 4 times 24)
a A LaTex expression showing r = -\ln{\frac{C over C sub 0 }}{t times 24}
b A LaTex expression showing r = -\ln{\frac{C sub 0 over C }}{t over 24 }
c A LaTex expression showing r = -e to the power of \frac{C over C sub 0 }{t times 24}
2
Solve for the rate given this model of a continuous decline of a bird population?
A LaTex expression showing 340 =700 times e to the power of (-r times 8 times 4)
a A LaTex expression showing r = -\ln{\frac{P sub 0 over P }}{t over 4 }
b A LaTex expression showing r = -\ln{\frac{P over P sub 0 }}{t times 4}
3
Solve for the rate of decay given this model of a continuous decay of a radioactive material?
A LaTex expression showing 334 =400 times e to the power of (-r times 9 times 7)
a A LaTex expression showing r = -\ln{\frac{R over R sub 0 }}{t times 7}
b A LaTex expression showing r = -e to the power of \frac{R over R sub 0 }{t times 7}
c A LaTex expression showing r = -\ln{\frac{R sub 0 over R }}{t over 7 }
4
Solve for the rate given this model of a a continuously declining bacteria population?
A LaTex expression showing 736 =900 times e to the power of (-r times 4 times 7)
a A LaTex expression showing r = -\ln{\frac{P over P sub 0 }}{t times 7}
b A LaTex expression showing r = -e to the power of \frac{P over P sub 0 }{t times 7}
c A LaTex expression showing r = -\ln{\frac{P sub 0 over P }}{t over 7 }
5
Solve for the rate of decay given this model of a continuous decay of a radioactive material?
A LaTex expression showing 344 =400 times e to the power of (-r times 5 over 7 )
a A LaTex expression showing r = -\ln{\frac{R sub 0 over R }}{t times 7}
b A LaTex expression showing r = -e to the power of \frac{R over R sub 0 }{t over 7 }
c A LaTex expression showing r = -\ln{\frac{R over R sub 0 }}{t over 7 }
6
Solve for the rate given this model of a a continuously declining bacteria population?
A LaTex expression showing 584 =700 times e to the power of (-r times 3 over 7 )
a A LaTex expression showing r = -\ln{\frac{P over P sub 0 }}{t over 7 }
b A LaTex expression showing r = -\ln{\frac{P sub 0 over P }}{t times 7}
c A LaTex expression showing r = -e to the power of \frac{P over P sub 0 }{t over 7 }
7
Solve for the rate given this model of a continuous decline of a whale population?
A LaTex expression showing 152 =200 times e to the power of (-r times 3 times 4)
a A LaTex expression showing r = -e to the power of \frac{P over P sub 0 }{t times 4}
b A LaTex expression showing r = -\ln{\frac{P over P sub 0 }}{t times 4}
8
Solve for the rate of decay given this model of a continuous decay of a radioactive material?
A LaTex expression showing 361 =400 times e to the power of (-r times 5 times 24)
a A LaTex expression showing r = -\ln{\frac{R over R sub 0 }}{t times 24}
b A LaTex expression showing r = -e to the power of \frac{R over R sub 0 }{t times 24}
c A LaTex expression showing r = -\ln{\frac{R sub 0 over R }}{t over 24 }