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

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Exponential Function Solution Equation - Decay (Discrete, Mis-matched...
1
Rearrange this equation to solve for the rate given this model of a balance of a charitable endowment (daily disbursements)?
A LaTex expression showing 265 =300 times (1-r) to the power of (2 times 365)
a A LaTex expression showing r = -(265 over 300 ) to the power of 1 over 2 times 365 - 1
b A LaTex expression showing r = -(265 over 300 ) to the power of 2 times 365 over 2 - 1
c A LaTex expression showing r = +(265 over 300 ) to the power of 1 over \frac{2 {365 } } + 1
2
Rearrange this equation to solve for the rate given this model of a balance of a charitable endowment (yearly disbursements)?
A LaTex expression showing 0 =700 times (1-r) to the power of (96 over 12 )
a A LaTex expression showing r = +(0 over 700 ) to the power of 1 over 96 times 12 + 1
b A LaTex expression showing r = -(0 over 700 ) to the power of \frac{96 over 12 {2} } - 1
c A LaTex expression showing r = -(0 over 700 ) to the power of 1 over \frac{96 {12 } } - 1
3
Rearrange this equation to solve for the rate given this model of a balance of a charitable endowment (yearly disbursements)?
A LaTex expression showing 126 =800 times (1-r) to the power of (36 over 12 )
a A LaTex expression showing r = +(126 over 800 ) to the power of 1 over 36 times 12 + 1
b A LaTex expression showing r = -(126 over 800 ) to the power of 1 over \frac{36 {12 } } - 1
c A LaTex expression showing r = -(126 over 800 ) to the power of \frac{36 over 12 {2} } - 1
4
Rearrange this equation to solve for the rate given this model of a balance of a charitable endowment (weekly disbursements)?
A LaTex expression showing 126 =700 times (1-r) to the power of (42 over 7 )
a A LaTex expression showing r = -(126 over 700 ) to the power of 1 over \frac{42 {7 } } - 1
b A LaTex expression showing r = +(126 over 700 ) to the power of 1 over 42 times 7 + 1
c A LaTex expression showing r = -(126 over 700 ) to the power of \frac{42 over 7 {2} } - 1
5
Rearrange this equation to solve for the rate given this model of a decline of a toxin concentration (weekly dialysis)?
A LaTex expression showing 385 =900 times (1-r) to the power of (42 over 7 )
a A LaTex expression showing r = -(385 over 900 ) to the power of \frac{42 over 7 {2} } - 1
b A LaTex expression showing r = -(385 over 900 ) to the power of 1 over \frac{42 {7 } } - 1
c A LaTex expression showing r = +(385 over 900 ) to the power of 1 over 42 times 7 + 1
6
Rearrange this equation to solve for the rate given this model of a balance of a charitable endowment (yearly disbursements)?
A LaTex expression showing 0 =300 times (1-r) to the power of (72 over 12 )
a A LaTex expression showing r = -(0 over 300 ) to the power of 1 over \frac{72 {12 } } - 1
b A LaTex expression showing r = +(0 over 300 ) to the power of 1 over 72 times 12 + 1
c A LaTex expression showing r = -(0 over 300 ) to the power of \frac{72 over 12 {2} } - 1
7
Rearrange this equation to solve for the rate given this model of a balance of a charitable endowment (daily disbursements)?
A LaTex expression showing 132 =200 times (1-r) to the power of (8 times 7)
a A LaTex expression showing r = -(132 over 200 ) to the power of 1 over 8 times 7 - 1
b A LaTex expression showing r = -(132 over 200 ) to the power of 8 times 7 over 2 - 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 89 =800 times (1-r) to the power of (72 over 12 )
a A LaTex expression showing r = -(89 over 800 ) to the power of 1 over \frac{72 {12 } } - 1
b A LaTex expression showing r = +(89 over 800 ) to the power of 1 over 72 times 12 + 1
c A LaTex expression showing r = -(89 over 800 ) to the power of \frac{72 over 12 {2} } - 1