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

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.

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

Exponential Function Solving - Decay (Discrete, Mis-matched Time Unit...

Solve for the time given this model of a balance of a charitable endowment (weekly disbursements)?

A LaTex expression showing 5 =300 times (1-0.08) to the power of (t over 7 )

a $A LaTex expression showing t = 1 over 7 times \ln{\frac{P over P sub 0 }}{\ln{(1+r)}}$

b $A LaTex expression showing t = 7 times \frac{\ln{P times P sub 0 }}{\ln{(1-r)}}$

c $A LaTex expression showing t = 7 times \ln{\frac{P over P sub 0 }}{\ln{(1-r)}}$

d $A LaTex expression showing t = 1 over 7 times \ln{\frac{P over P sub 0 }}{\ln{(1-r)}}$

Solve for the time given this model of a decline of a toxin concentration (hourly dialysis)?

A LaTex expression showing 253 =300 times (1-0.08) to the power of (t times 24)

a $A LaTex expression showing t = 24 times \ln{\frac{C over C sub 0 }}{\ln{(1-r)}}$

b $A LaTex expression showing t = 1 over 24 times \ln{\frac{C over C sub 0 }}{\ln{(1-r)}}$

c $A LaTex expression showing t = 1 over 24 times \frac{\ln{C times C sub 0 }}{\ln{(1-r)}}$

Solve for the time given this model of a balance of a charitable endowment (yearly disbursements)?

A LaTex expression showing 20 =600 times (1-0.09) to the power of (t over 12 )

a $A LaTex expression showing t = 1 over 12 times \ln{\frac{P over P sub 0 }}{\ln{(1+r)}}$

b $A LaTex expression showing t = 12 times \ln{\frac{P over P sub 0 }}{\ln{(1-r)}}$

c $A LaTex expression showing t = 1 over 12 times \ln{\frac{P over P sub 0 }}{\ln{(1-r)}}$

Solve for the time given this model of a decline of a toxin concentration (weekly dialysis)?

A LaTex expression showing 282 =500 times (1-0.04) to the power of (t over 7 )

a $A LaTex expression showing t = 1 over 7 times \ln{\frac{C over C sub 0 }}{\ln{(1+r)}}$

b $A LaTex expression showing t = 7 times \ln{\frac{C over C sub 0 }}{\ln{(1-r)}}$

c $A LaTex expression showing t = 1 over 7 times \ln{\frac{C over C sub 0 }}{\ln{(1-r)}}$

d $A LaTex expression showing t = 7 times \frac{\ln{C times C sub 0 }}{\ln{(1-r)}}$

Solve for the time given this model of a decline of a toxin concentration (weekly dialysis)?

A LaTex expression showing 334 =900 times (1-0.02) to the power of (t over 7 )

a $A LaTex expression showing t = 7 times \ln{\frac{C over C sub 0 }}{\ln{(1-r)}}$

b $A LaTex expression showing t = 7 times \frac{\ln{C times C sub 0 }}{\ln{(1-r)}}$

c $A LaTex expression showing t = 1 over 7 times \ln{\frac{C over C sub 0 }}{\ln{(1+r)}}$

Solve for the time given this model of a balance of a charitable endowment (weekly disbursements)?

A LaTex expression showing 294 =700 times (1-0.06) to the power of (t over 7 )

a $A LaTex expression showing t = 7 times \frac{\ln{P times P sub 0 }}{\ln{(1-r)}}$

b $A LaTex expression showing t = 7 times \ln{\frac{P over P sub 0 }}{\ln{(1-r)}}$

c $A LaTex expression showing t = 1 over 7 times \ln{\frac{P over P sub 0 }}{\ln{(1+r)}}$

Solve for the time given this model of a balance of a charitable endowment (daily disbursements)?

A LaTex expression showing 456 =600 times (1-0.03) to the power of (t times 7)

a $A LaTex expression showing t = 7 times \ln{\frac{P over P sub 0 }}{\ln{(1+r)}}$

b $A LaTex expression showing t = 7 times \ln{\frac{P over P sub 0 }}{\ln{(1-r)}}$

c $A LaTex expression showing t = 1 over 7 times \ln{\frac{P over P sub 0 }}{\ln{(1-r)}}$

Solve for the time given this model of a decline of a toxin concentration (daily dialysis)?

A LaTex expression showing 0 =500 times (1-0.09) to the power of (t over 24 )

a $A LaTex expression showing t = 24 times \ln{\frac{C over C sub 0 }}{\ln{(1-r)}}$

b $A LaTex expression showing t = 1 over 24 times \ln{\frac{C over C sub 0 }}{\ln{(1-r)}}$

c $A LaTex expression showing t = 1 over 24 times \ln{\frac{C over C sub 0 }}{\ln{(1+r)}}$