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Exponential Function Solving - Decay (Continuous, Mis-matched Time Units) Scenario 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.

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

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Exponential Function Solving - Decay (Continuous, Mis-matched Time Un...
1
A toxin starts at a concentration of 700mg/L. It declines continuously at 5% per hour. After 9 days it has decreased to a certain concentration.
How would you solve for the final concentration given this scenario?
a A LaTex expression showing C = C sub 0 times e to the power of (-r over t times 24 )
b A LaTex expression showing C = C sub 0 times e to the power of (-r times t times 24)
c A LaTex expression showing C = C sub 0 - e to the power of (-r times t over 24 )
2
A radioactive material starts at an isotope concentration of 800ppm. It decays continuously at 4% per day. After 7 weeks it has decayed to a certain isotope concentration.
How would you solve for the final concentration given this scenario?
a A LaTex expression showing R = R sub 0 times e to the power of (-r over t times 7 )
b A LaTex expression showing R = R sub 0 - e to the power of (-r times t over 7 )
c A LaTex expression showing R = R sub 0 times e to the power of (-r times t times 7)
3
A whale population starts at 200. It declines continuously at 6% per year. After 7 quarters it has decreased to a certain population.
How would you solve for the final population given this scenario?
a A LaTex expression showing P = P sub 0 times e to the power of (-r over \frac{t {4 })}
b A LaTex expression showing P = P sub 0 - e to the power of (-r times t times 4)
c A LaTex expression showing P = P sub 0 times e to the power of (-r times t over 4 )
4
A bird population starts at 200. It declines continuously at 7% per year. After 9 quarters it has decreased to a certain population.
How would you solve for the final population given this scenario?
a A LaTex expression showing P = P sub 0 times e to the power of (-r over \frac{t {4 })}
b A LaTex expression showing P = P sub 0 - e to the power of (-r times t times 4)
c A LaTex expression showing P = P sub 0 times e to the power of (-r times t over 4 )
5
A bird population starts at 600. It declines continuously at 3% per quarter. After 9 years it has decreased to a certain population.
How would you solve for the final population given this scenario?
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 )
6
A bacteria population starts at 600. It declines continuously at 2% per week. After 7 days it has decreased to a certain population.
How would you solve for the final population given this scenario?
a A LaTex expression showing P = P sub 0 - e to the power of (-r times t times 7)
b A LaTex expression showing P = P sub 0 times e to the power of (-r over \frac{t {7 })}
c A LaTex expression showing P = P sub 0 times e to the power of (-r times t over 7 )
7
A whale population starts at 600. It declines continuously at 7% per quarter. After 3 years it has decreased to a certain population.
How would you solve for the final population given this scenario?
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 )
c A LaTex expression showing P = P sub 0 - e to the power of (-r times t over 4 )
8
A bird population starts at 600. It declines continuously at 9% per quarter. After 2 years it has decreased to a certain population.
How would you solve for the final population given this scenario?
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 - e to the power of (-r times t over 4 )
c A LaTex expression showing P = P sub 0 times e to the power of (-r over t times 4 )