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Exponential Function Solution Equation - Decay (Discrete) - Equation to Time

Level 1

The topics in this unit focus on understanding how to work with 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 (Discrete) - Equation to Time Worksheet

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Exponential Function Solution Equation - Decay (Discrete) - Equation ...
1
Rearrange this equation to solve for the time given this model of a decline of a whale population (yearly breeding cycle)?
A LaTex expression showing 248 =300 times (1-0.09) to the power of (t)
a A LaTex expression showing t = \ln{\frac{248 over 300 }}{\ln{(1-0.09)}}
b A LaTex expression showing t = \frac{\ln{248 times 300}}{\ln{(1-0.09)}}
c A LaTex expression showing t = \ln{\frac{248 over 300 }}{\ln{(1+0.09)}}
2
Rearrange this equation to solve for the time given this model of a decline of a whale population (yearly breeding cycle)?
A LaTex expression showing 235 =500 times (1-0.09) to the power of (t)
a A LaTex expression showing t = \ln{\frac{235 over 500 }}{\ln{(1-0.09)}}
b A LaTex expression showing t = \frac{\ln{235 times 500}}{\ln{(1-0.09)}}
c A LaTex expression showing t = \ln{\frac{235 over 500 }}{\ln{(1+0.09)}}
3
Rearrange this equation to solve for the time given this model of a decline of a bird population (yearly breeding cycle)?
A LaTex expression showing 620 =700 times (1-0.02) to the power of (t)
a A LaTex expression showing t = \frac{\ln{620 times 700}}{\ln{(1-0.02)}}
b A LaTex expression showing t = \ln{\frac{620 over 700 }}{\ln{(1+0.02)}}
c A LaTex expression showing t = \ln{\frac{620 over 700 }}{\ln{(1-0.02)}}
4
Rearrange this equation to solve for the time given this model of a decline of a bird population (yearly breeding cycle)?
A LaTex expression showing 772 =900 times (1-0.03) to the power of (t)
a A LaTex expression showing t = \ln{\frac{772 over 900 }}{\ln{(1+0.03)}}
b A LaTex expression showing t = \frac{\ln{772 times 900}}{\ln{(1-0.03)}}
c A LaTex expression showing t = \ln{\frac{772 over 900 }}{\ln{(1-0.03)}}
5
Rearrange this equation to solve for the time given this model of a decline of a bird population (yearly breeding cycle)?
A LaTex expression showing 244 =300 times (1-0.05) to the power of (t)
a A LaTex expression showing t = \ln{\frac{244 over 300 }}{\ln{(1-0.05)}}
b A LaTex expression showing t = \frac{\ln{244 times 300}}{\ln{(1-0.05)}}
c A LaTex expression showing t = \ln{\frac{244 over 300 }}{\ln{(1+0.05)}}
6
Rearrange this equation to solve for the time given this model of a decline of a bird population (yearly breeding cycle)?
A LaTex expression showing 461 =500 times (1-0.02) to the power of (t)
a A LaTex expression showing t = \ln{\frac{461 over 500 }}{\ln{(1-0.02)}}
b A LaTex expression showing t = \ln{\frac{461 over 500 }}{\ln{(1+0.02)}}
7
Rearrange this equation to solve for the time given this model of a decline of a whale population (yearly breeding cycle)?
A LaTex expression showing 470 =500 times (1-0.03) to the power of (t)
a A LaTex expression showing t = \ln{\frac{470 over 500 }}{\ln{(1-0.03)}}
b A LaTex expression showing t = \ln{\frac{470 over 500 }}{\ln{(1+0.03)}}
8
Rearrange this equation to solve for the time given this model of a balance of a charitable endowment (yearly disbursements)?
A LaTex expression showing 346 =500 times (1-0.04) to the power of (t)
a A LaTex expression showing t = \ln{\frac{346 over 500 }}{\ln{(1-0.04)}}
b A LaTex expression showing t = \ln{\frac{346 over 500 }}{\ln{(1+0.04)}}
c A LaTex expression showing t = \frac{\ln{346 times 500}}{\ln{(1-0.04)}}