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

Exponential Function Solving - Decay (Continuous, Mis-matched Time Un...

Solve for the time given this model of a continuous decline of a whale population?

A LaTex expression showing 666 =900 times e to the power of (-0.06 times t times 4)

a $A LaTex expression showing t = -4 times \frac{\ln{P times P sub 0 }}{r}$

b $A LaTex expression showing t = -1 over 4 times \ln{\frac{P over P sub 0 }}{r}$

c $A LaTex expression showing t = -4 times \ln{\frac{P over P sub 0 }}{r}$

Solve for the time given this model of a continuous decline of a bird population?

A LaTex expression showing 709 =800 times e to the power of (-0.04 times t times 4)

a $A LaTex expression showing t = -4 times \ln{\frac{P over P sub 0 }}{r}$

b $A LaTex expression showing t = -1 over 4 times \ln{\frac{P over P sub 0 }}{r}$

c $A LaTex expression showing t = -4 times \frac{\ln{P times P sub 0 }}{r}$

Solve for the time given this model of a continuous decay of a radioactive material?

A LaTex expression showing 435 =600 times e to the power of (-0.08 times t over 24 )

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

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

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

Solve for the time given this model of a continuous decline of a bird population?

A LaTex expression showing 405 =500 times e to the power of (-0.03 times t times 4)

a $A LaTex expression showing t = -1 over 4 times \ln{\frac{P over P sub 0 }}{r}$

b $A LaTex expression showing t = -4 times \ln{\frac{P over P sub 0 }}{r}$

Solve for the time given this model of a a continuously declining bacteria population?

A LaTex expression showing 584 =700 times e to the power of (-0.03 times t over 7 )

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

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

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

Solve for the time given this model of a continuous decline of a whale population?

A LaTex expression showing 723 =800 times e to the power of (-0.05 times t times 4)

a $A LaTex expression showing t = -1 over 4 times r over \ln{\frac{P {P sub 0 }}}$

b $A LaTex expression showing t = -1 over 4 times \ln{\frac{P over P sub 0 }}{r}$

c $A LaTex expression showing t = -4 times \ln{\frac{P over P sub 0 }}{r}$

Solve for the time given this model of a continuous decay of a radioactive material?

A LaTex expression showing 255 =400 times e to the power of (-0.05 times t over 7 )

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

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

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

Solve for the time given this model of a continuous reduction of a toxin concentration?

A LaTex expression showing 653 =900 times e to the power of (-0.08 times t over 24 )

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

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

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