Exponential Function Solving - 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.

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

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Exponential Function Solving - Decay (Discrete, Mis-matched Time Unit...
1
Solve for the rate given this model of a balance of a charitable endowment (weekly disbursements)?
A LaTex expression showing 104 =800 times (1-r) to the power of (28 over 7 )
a A LaTex expression showing r = -(P over P sub 0 ) to the power of \frac{t over 7 {2} } - 1
b A LaTex expression showing r = -(P over P sub 0 ) to the power of 1 over \frac{t {7 } } - 1
c A LaTex expression showing r = -(P over P sub 0 ) to the power of 1 over t times 7 + 1
2
Solve for the rate given this model of a balance of a charitable endowment (monthly disbursements)?
A LaTex expression showing 619 =700 times (1-r) to the power of (3 times 12)
a A LaTex expression showing r = -(P over P sub 0 ) to the power of 1 over \frac{t {12 } } + 1
b A LaTex expression showing r = -(P over P sub 0 ) to the power of 1 over t times 12 - 1
c A LaTex expression showing r = -(P over P sub 0 ) to the power of t times 12 over 2 - 1
3
Solve for the rate given this model of a balance of a charitable endowment (yearly disbursements)?
A LaTex expression showing 47 =900 times (1-r) to the power of (72 over 12 )
a A LaTex expression showing r = -(P over P sub 0 ) to the power of 1 over \frac{t {12 } } - 1
b A LaTex expression showing r = -(P over P sub 0 ) to the power of 1 over t times 12 + 1
4
Solve for the rate given this model of a decline of a toxin concentration (hourly dialysis)?
A LaTex expression showing 416 =500 times (1-r) to the power of (6 times 24)
a A LaTex expression showing r = -(C over C sub 0 ) to the power of t times 24 over 2 - 1
b A LaTex expression showing r = -(C over C sub 0 ) to the power of 1 over t times 24 - 1
5
Solve for the rate given this model of a decline of a toxin concentration (weekly dialysis)?
A LaTex expression showing 22 =300 times (1-r) to the power of (63 over 7 )
a A LaTex expression showing r = -(C over C sub 0 ) to the power of 1 over t times 7 + 1
b A LaTex expression showing r = -(C over C sub 0 ) to the power of 1 over \frac{t {7 } } - 1
c A LaTex expression showing r = -(C over C sub 0 ) to the power of \frac{t over 7 {2} } - 1
6
Solve for the rate given this model of a balance of a charitable endowment (yearly disbursements)?
A LaTex expression showing 6 =200 times (1-r) to the power of (84 over 12 )
a A LaTex expression showing r = -(P over P sub 0 ) to the power of \frac{t over 12 {2} } - 1
b A LaTex expression showing r = -(P over P sub 0 ) to the power of 1 over \frac{t {12 } } - 1
c A LaTex expression showing r = -(P over P sub 0 ) to the power of 1 over t times 12 + 1
7
Solve for the rate given this model of a balance of a charitable endowment (monthly disbursements)?
A LaTex expression showing 176 =200 times (1-r) to the power of (3 times 12)
a A LaTex expression showing r = -(P over P sub 0 ) to the power of 1 over t times 12 - 1
b A LaTex expression showing r = -(P over P sub 0 ) to the power of t times 12 over 2 - 1
c A LaTex expression showing r = -(P over P sub 0 ) to the power of 1 over \frac{t {12 } } + 1
8
Solve for the rate given this model of a balance of a charitable endowment (weekly disbursements)?
A LaTex expression showing 111 =300 times (1-r) to the power of (49 over 7 )
a A LaTex expression showing r = -(P over P sub 0 ) to the power of 1 over \frac{t {7 } } - 1
b A LaTex expression showing r = -(P over P sub 0 ) to the power of 1 over t times 7 + 1