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

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 Starting Value Worksheet

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

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

A LaTex expression showing 521 =P sub 0 times e to the power of (-0.07 times 2 over 4 )

a $A LaTex expression showing P sub 0 = P over e to the power of (-r times \frac{t {4 )}}$

b $A LaTex expression showing P sub 0 = e to the power of (-r times \frac{t over 4 ) }{P}$

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

A LaTex expression showing 766 =P sub 0 times e to the power of (-0.08 times 2 times 365)

a $A LaTex expression showing P sub 0 = P over e to the power of (\frac{-r {t over 365 )}}$

A LaTex expression showing P sub 0 = P over e to the power of (-r times t times 365)

c $A LaTex expression showing P sub 0 = \frac{e to the power of (-r times t times 365) }{P}$

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

A LaTex expression showing 668 =P sub 0 times e to the power of (-0.06 times 3 times 4)

a $A LaTex expression showing P sub 0 = P over e to the power of (\frac{-r {t over 4 )}}$

A LaTex expression showing P sub 0 = P over e to the power of (-r times t times 4)

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

A LaTex expression showing 491 =R sub 0 times e to the power of (-0.04 times 5 over 7 )

a $A LaTex expression showing R sub 0 = R over e to the power of (-r times \frac{t {7 )}}$

b $A LaTex expression showing R sub 0 = e to the power of (-r times \frac{t over 7 ) }{R}$

c $A LaTex expression showing R sub 0 = R over e to the power of (\frac{-r {t times 7 )}}$

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

A LaTex expression showing 361 =P sub 0 times e to the power of (-0.05 times 2 times 4)

A LaTex expression showing P sub 0 = P over e to the power of (-r times t times 4)

b $A LaTex expression showing P sub 0 = \frac{e to the power of (-r times t times 4) }{P}$

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

A LaTex expression showing 319 =P sub 0 times e to the power of (-0.07 times 9 times 4)

A LaTex expression showing P sub 0 = P over e to the power of (-r times t times 4)

b $A LaTex expression showing P sub 0 = \frac{e to the power of (-r times t times 4) }{P}$

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

A LaTex expression showing 285 =R sub 0 times e to the power of (-0.08 times 7 times 24)

a $A LaTex expression showing R sub 0 = \frac{e to the power of (-r times t times 24) }{R}$

A LaTex expression showing R sub 0 = R over e to the power of (-r times t times 24)

c $A LaTex expression showing R sub 0 = R over e to the power of (\frac{-r {t over 24 )}}$

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

A LaTex expression showing 620 =R sub 0 times e to the power of (-0.02 times 6 over 24 )

a $A LaTex expression showing R sub 0 = e to the power of (-r times \frac{t over 24 ) }{R}$

b $A LaTex expression showing R sub 0 = R over e to the power of (-r times \frac{t {24 )}}$

c $A LaTex expression showing R sub 0 = R over e to the power of (\frac{-r {t times 24 )}}$