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

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Exponential Function Solution Equation - Decay (Continuous, Mis-match...
1
Rearrange this equation to solve for the rate given this model of a continuous reduction of a toxin concentration?
A LaTex expression showing 114 =200 times e to the power of (-r times 7 times 24)
a A LaTex expression showing r = -e to the power of \frac{114 over 200 }{7 times 24}
b A LaTex expression showing r = -\ln{\frac{200 over 114 }}{7 over 24 }
c A LaTex expression showing r = -\ln{\frac{114 over 200 }}{7 times 24}
2
Rearrange this equation to solve for the rate given this model of a continuous decline of a bird population?
A LaTex expression showing 610 =800 times e to the power of (-r times 9 times 4)
a A LaTex expression showing r = -\ln{\frac{800 over 610 }}{9 over 4 }
b A LaTex expression showing r = -e to the power of \frac{610 over 800 }{9 times 4}
c A LaTex expression showing r = -\ln{\frac{610 over 800 }}{9 times 4}
3
Rearrange this equation to solve for the rate given this model of a continuous decline of a whale population?
A LaTex expression showing 139 =200 times e to the power of (-r times 9 times 4)
a A LaTex expression showing r = -e to the power of \frac{139 over 200 }{9 times 4}
b A LaTex expression showing r = -\ln{\frac{139 over 200 }}{9 times 4}
c A LaTex expression showing r = -\ln{\frac{200 over 139 }}{9 over 4 }
4
Rearrange this equation to solve for the rate given this model of a continuous decline of a bird population?
A LaTex expression showing 382 =600 times e to the power of (-r times 5 times 4)
a A LaTex expression showing r = -e to the power of \frac{382 over 600 }{5 times 4}
b A LaTex expression showing r = -\ln{\frac{382 over 600 }}{5 times 4}
c A LaTex expression showing r = -\ln{\frac{600 over 382 }}{5 over 4 }
5
Rearrange this equation to solve for the rate given this model of a a continuously declining bacteria population?
A LaTex expression showing 417 =500 times e to the power of (-r times 2 times 365)
a A LaTex expression showing r = -\ln{\frac{417 over 500 }}{2 times 365}
b A LaTex expression showing r = -\ln{\frac{500 over 417 }}{2 over 365 }
c A LaTex expression showing r = -e to the power of \frac{417 over 500 }{2 times 365}
6
Rearrange this equation to solve for the rate given this model of a continuous decline of a bird population?
A LaTex expression showing 106 =200 times e to the power of (-r times 9 over 4 )
a A LaTex expression showing r = -\ln{\frac{200 over 106 }}{9 times 4}
b A LaTex expression showing r = -\ln{\frac{106 over 200 }}{9 over 4 }
c A LaTex expression showing r = -e to the power of \frac{106 over 200 }{9 over 4 }
7
Rearrange this equation to solve for the rate given this model of a continuous decline of a bird population?
A LaTex expression showing 296 =400 times e to the power of (-r times 6 times 4)
a A LaTex expression showing r = -e to the power of \frac{296 over 400 }{6 times 4}
b A LaTex expression showing r = -\ln{\frac{296 over 400 }}{6 times 4}
c A LaTex expression showing r = -\ln{\frac{400 over 296 }}{6 over 4 }
8
Rearrange this equation to solve for the rate of decay given this model of a continuous decay of a radioactive material?
A LaTex expression showing 610 =800 times e to the power of (-r times 3 times 24)
a A LaTex expression showing r = -\ln{\frac{800 over 610 }}{3 over 24 }
b A LaTex expression showing r = -\ln{\frac{610 over 800 }}{3 times 24}
c A LaTex expression showing r = -e to the power of \frac{610 over 800 }{3 times 24}