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

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.

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

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Exponential Function Solution Equation - Decay (Continuous, Mis-match...
1
Rearrange this equation to solve for the time given this model of a continuous decay of a radioactive material?
A LaTex expression showing 405 =500 times e to the power of (-0.07 times t times 24)
a A LaTex expression showing t = -1 over 24 times 0.07 over \ln{\frac{405 {500}}}
b A LaTex expression showing t = -24 times \ln{\frac{405 over 500 }}{0.07}
c A LaTex expression showing t = -1 over 24 times \ln{\frac{405 over 500 }}{0.07}
2
Rearrange this equation to solve for the time given this model of a continuous decline of a bird population?
A LaTex expression showing 443 =500 times e to the power of (-0.03 times t over 4 )
a A LaTex expression showing t = +1 over 4 times \frac{\ln{443 times 500}}{0.03}
b A LaTex expression showing t = -4 times 0.03 over \ln{\frac{443 {500}}}
c A LaTex expression showing t = -1 over 4 times \ln{\frac{443 over 500 }}{0.03}
d A LaTex expression showing t = -4 times \ln{\frac{443 over 500 }}{0.03}
3
Rearrange this equation to solve for the time given this model of a continuous decline of a bird population?
A LaTex expression showing 268 =400 times e to the power of (-0.08 times t over 4 )
a A LaTex expression showing t = -1 over 4 times \ln{\frac{268 over 400 }}{0.08}
b A LaTex expression showing t = -4 times 0.08 over \ln{\frac{268 {400}}}
c A LaTex expression showing t = -4 times \ln{\frac{268 over 400 }}{0.08}
4
Rearrange this equation to solve for the time given this model of a continuous decay of a radioactive material?
A LaTex expression showing 159 =300 times e to the power of (-0.07 times t times 24)
a A LaTex expression showing t = +24 times \frac{\ln{159 times 300}}{0.07}
b A LaTex expression showing t = -1 over 24 times 0.07 over \ln{\frac{159 {300}}}
c A LaTex expression showing t = -1 over 24 times \ln{\frac{159 over 300 }}{0.07}
5
Rearrange this equation to solve for the time given this model of a continuous decay of a radioactive material?
A LaTex expression showing 814 =900 times e to the power of (-0.05 times t over 24 )
a A LaTex expression showing t = -1 over 24 times \ln{\frac{814 over 900 }}{0.05}
b A LaTex expression showing t = -24 times \ln{\frac{814 over 900 }}{0.05}
c A LaTex expression showing t = +1 over 24 times \frac{\ln{814 times 900}}{0.05}
6
Rearrange this equation to solve for the time given this model of a continuous decay of a radioactive material?
A LaTex expression showing 470 =500 times e to the power of (-0.03 times t times 24)
a A LaTex expression showing t = -24 times \ln{\frac{470 over 500 }}{0.03}
b A LaTex expression showing t = -1 over 24 times \ln{\frac{470 over 500 }}{0.03}
c A LaTex expression showing t = +24 times \frac{\ln{470 times 500}}{0.03}
7
Rearrange this equation to solve for the time given this model of a a continuously declining bacteria population?
A LaTex expression showing 393 =500 times e to the power of (-0.04 times t times 365)
a A LaTex expression showing t = -365 times \ln{\frac{393 over 500 }}{0.04}
b A LaTex expression showing t = -1 over 365 times 0.04 over \ln{\frac{393 {500}}}
c A LaTex expression showing t = -1 over 365 times \ln{\frac{393 over 500 }}{0.04}
d A LaTex expression showing t = +365 times \frac{\ln{393 times 500}}{0.04}
8
Rearrange this equation to solve for the time given this model of a continuous decline of a bird population?
A LaTex expression showing 152 =200 times e to the power of (-0.03 times t times 4)
a A LaTex expression showing t = -4 times \ln{\frac{152 over 200 }}{0.03}
b A LaTex expression showing t = -1 over 4 times \ln{\frac{152 over 200 }}{0.03}
c A LaTex expression showing t = -1 over 4 times 0.03 over \ln{\frac{152 {200}}}