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

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 Rate Worksheet

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Exponential Function Solution Equation - Decay (Discrete) Equation to...
1
Rearrange this equation to solve for the rate given this model of a decline of a toxin concentration (monthly dialysis)?
A LaTex expression showing 507 =600 times (1-r) to the power of (2)
a A LaTex expression showing r = +(507 over 600 ) to the power of 1 over 2 + 1
b A LaTex expression showing r = -(507 over 600 ) to the power of 1 over 2 - 1
c A LaTex expression showing r = -(507 over 600 ) to the power of 2 over 2 - 1
2
Rearrange this equation to solve for the rate given this model of a decline of a bird population (yearly breeding cycle)?
A LaTex expression showing 708 =800 times (1-r) to the power of (4)
a A LaTex expression showing r = -(708 over 800 ) to the power of 1 over 4 - 1
b A LaTex expression showing r = +(708 over 800 ) to the power of 1 over 4 + 1
3
Rearrange this equation to solve for the rate given this model of a decline of a toxin concentration (weekly dialysis)?
A LaTex expression showing 260 =300 times (1-r) to the power of (7)
a A LaTex expression showing r = +(260 over 300 ) to the power of 1 over 7 + 1
b A LaTex expression showing r = -(260 over 300 ) to the power of 1 over 7 - 1
c A LaTex expression showing r = -(260 over 300 ) to the power of 7 over 2 - 1
4
Rearrange this equation to solve for the rate given this model of a balance of a charitable endowment (daily disbursements)?
A LaTex expression showing 570 =700 times (1-r) to the power of (4)
a A LaTex expression showing r = +(570 over 700 ) to the power of 1 over 4 + 1
b A LaTex expression showing r = -(570 over 700 ) to the power of 1 over 4 - 1
5
Rearrange this equation to solve for the rate given this model of a balance of a charitable endowment (yearly disbursements)?
A LaTex expression showing 171 =300 times (1-r) to the power of (9)
a A LaTex expression showing r = -(171 over 300 ) to the power of 9 over 2 - 1
b A LaTex expression showing r = -(171 over 300 ) to the power of 1 over 9 - 1
c A LaTex expression showing r = +(171 over 300 ) to the power of 1 over 9 + 1
6
Rearrange this equation to solve for the rate given this model of a decline of a bird population (yearly breeding cycle)?
A LaTex expression showing 335 =600 times (1-r) to the power of (8)
a A LaTex expression showing r = -(335 over 600 ) to the power of 8 over 2 - 1
b A LaTex expression showing r = -(335 over 600 ) to the power of 1 over 8 - 1
7
Rearrange this equation to solve for the rate given this model of a decline of a toxin concentration (daily dialysis)?
A LaTex expression showing 434 =500 times (1-r) to the power of (7)
a A LaTex expression showing r = -(434 over 500 ) to the power of 7 over 2 - 1
b A LaTex expression showing r = -(434 over 500 ) to the power of 1 over 7 - 1
c A LaTex expression showing r = +(434 over 500 ) to the power of 1 over 7 + 1
8
Rearrange this equation to solve for the rate given this model of a balance of a charitable endowment (yearly disbursements)?
A LaTex expression showing 661 =900 times (1-r) to the power of (6)
a A LaTex expression showing r = -(661 over 900 ) to the power of 6 over 2 - 1
b A LaTex expression showing r = +(661 over 900 ) to the power of 1 over 6 + 1
c A LaTex expression showing r = -(661 over 900 ) to the power of 1 over 6 - 1