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

WorksheetView

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

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Exponential Function Solving - Decay (Continuous, Mis-matched Time Un...
1
Solve for the final concentration given this model of a continuous reduction of a toxin concentration?
A LaTex expression showing C =900 times e to the power of (-0.05 times 3 over 7 )
a A LaTex expression showing C = C sub 0 times e to the power of (-r times t over 7 )
b A LaTex expression showing C = C sub 0 times e to the power of (-r over \frac{t {7 })}
c A LaTex expression showing C = C sub 0 - e to the power of (-r times t times 7)
2
Solve for the final population given this model of a continuous decline of a bird population?
A LaTex expression showing P =500 times e to the power of (-0.03 times 6 over 4 )
a A LaTex expression showing P = P sub 0 times e to the power of (-r times t over 4 )
b A LaTex expression showing P = P sub 0 times e to the power of (-r over \frac{t {4 })}
3
Solve for the final population given this model of a a continuously declining bacteria population?
A LaTex expression showing P =200 times e to the power of (-0.09 times 7 times 7)
a A LaTex expression showing P = P sub 0 - e to the power of (-r times t over 7 )
b A LaTex expression showing P = P sub 0 times e to the power of (-r times t times 7)
c A LaTex expression showing P = P sub 0 times e to the power of (-r over t times 7 )
4
Solve for the final population given this model of a a continuously declining bacteria population?
A LaTex expression showing P =400 times e to the power of (-0.08 times 3 over 7 )
a A LaTex expression showing P = P sub 0 times e to the power of (-r times t over 7 )
b A LaTex expression showing P = P sub 0 - e to the power of (-r times t times 7)
5
Solve for the final population given this model of a continuous decline of a whale population?
A LaTex expression showing P =400 times e to the power of (-0.02 times 5 over 4 )
a A LaTex expression showing P = P sub 0 times e to the power of (-r times t over 4 )
b A LaTex expression showing P = P sub 0 times e to the power of (-r over \frac{t {4 })}
c A LaTex expression showing P = P sub 0 - e to the power of (-r times t times 4)
6
Solve for the final concentration given this model of a continuous decay of a radioactive material?
A LaTex expression showing R =200 times e to the power of (-0.07 times 6 times 24)
a A LaTex expression showing R = R sub 0 times e to the power of (-r over t times 24 )
b A LaTex expression showing R = R sub 0 times e to the power of (-r times t times 24)
7
Solve for the final concentration given this model of a continuous reduction of a toxin concentration?
A LaTex expression showing C =900 times e to the power of (-0.06 times 5 over 7 )
a A LaTex expression showing C = C sub 0 times e to the power of (-r times t over 7 )
b A LaTex expression showing C = C sub 0 times e to the power of (-r over \frac{t {7 })}
c A LaTex expression showing C = C sub 0 - e to the power of (-r times t times 7)
8
Solve for the final population given this model of a continuous decline of a bird population?
A LaTex expression showing P =400 times e to the power of (-0.05 times 6 times 4)
a A LaTex expression showing P = P sub 0 times e to the power of (-r times t times 4)
b A LaTex expression showing P = P sub 0 times e to the power of (-r over t times 4 )