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Exponential Function Solution Equation - Decay (Discrete) Equation to Starting Value

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 Starting Value Worksheet

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Exponential Function Solution Equation - Decay (Discrete) Equation to...
1
Rearrange this equation to solve for the starting population given this model of a decline of a bird population (yearly breeding cycle)?
A LaTex expression showing 737 =P sub 0 times (1-0.02) to the power of (4)
a A LaTex expression showing P sub 0 = 737 times (1-0.02) to the power of 4
b A LaTex expression showing P sub 0 = 737 over (1+0.02) to the power of 4
c A LaTex expression showing P sub 0 = 737 over (1-0.02) to the power of 4
2
Rearrange this equation to solve for the starting population given this model of a decline of a bird population (yearly breeding cycle)?
A LaTex expression showing 706 =P sub 0 times (1-0.06) to the power of (2)
a A LaTex expression showing P sub 0 = 706 over (1-0.06) to the power of 2
b A LaTex expression showing P sub 0 = 706 times (1-0.06) to the power of 2
c A LaTex expression showing P sub 0 = 706 over (1+0.06) to the power of 2
3
Rearrange this equation to solve for the starting cash given this model of a balance of a charitable endowment (yearly disbursements)?
A LaTex expression showing 304 =P sub 0 times (1-0.03) to the power of (9)
a A LaTex expression showing P sub 0 = 304 over (1-0.03) to the power of 9
b A LaTex expression showing P sub 0 = 304 over (1+0.03) to the power of 9
4
Rearrange this equation to solve for the starting concentration given this model of a decline of a toxin concentration (weekly dialysis)?
A LaTex expression showing 553 =C sub 0 times (1-0.02) to the power of (4)
a A LaTex expression showing C sub 0 = 553 times (1-0.02) to the power of 4
b A LaTex expression showing C sub 0 = 553 over (1-0.02) to the power of 4
c A LaTex expression showing C sub 0 = 553 over (1+0.02) to the power of 4
5
Rearrange this equation to solve for the starting population given this model of a decline of a whale population (yearly breeding cycle)?
A LaTex expression showing 250 =P sub 0 times (1-0.02) to the power of (9)
a A LaTex expression showing P sub 0 = 250 times (1-0.02) to the power of 9
b A LaTex expression showing P sub 0 = 250 over (1+0.02) to the power of 9
c A LaTex expression showing P sub 0 = 250 over (1-0.02) to the power of 9
6
Rearrange this equation to solve for the starting concentration given this model of a decline of a toxin concentration (weekly dialysis)?
A LaTex expression showing 397 =C sub 0 times (1-0.09) to the power of (6)
a A LaTex expression showing C sub 0 = 397 over (1-0.09) to the power of 6
b A LaTex expression showing C sub 0 = 397 times (1-0.09) to the power of 6
c A LaTex expression showing C sub 0 = 397 over (1+0.09) to the power of 6
7
Rearrange this equation to solve for the starting population given this model of a decline of a bird population (yearly breeding cycle)?
A LaTex expression showing 424 =P sub 0 times (1-0.08) to the power of (6)
a A LaTex expression showing P sub 0 = 424 over (1-0.08) to the power of 6
b A LaTex expression showing P sub 0 = 424 over (1+0.08) to the power of 6
8
Rearrange this equation to solve for the starting population given this model of a decline of a bird population (yearly breeding cycle)?
A LaTex expression showing 489 =P sub 0 times (1-0.04) to the power of (5)
a A LaTex expression showing P sub 0 = 489 times (1-0.04) to the power of 5
b A LaTex expression showing P sub 0 = 489 over (1-0.04) to the power of 5
c A LaTex expression showing P sub 0 = 489 over (1+0.04) to the power of 5