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Exponential Function Solving - Decay (Discrete, 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.

WorksheetView

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

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Exponential Function Solving - Decay (Discrete, Mis-matched Time Unit...
1
A charitable endowment starts with $900. Each daily it disburses 3% of its remaining funds. After 7 weeks its funds have decreased to a certain amount.
How would you solve for the final cash given this scenario?
a A LaTex expression showing P = P sub 0 times (1 + r) to the power of ( t over 7 )
b A LaTex expression showing P = P sub 0 times (1 - r) to the power of ( t times 7)
c A LaTex expression showing P = P sub 0 over (1 - r) to the power of ( t times 7)
2
A toxin starts at a concentration of 800mg/L. Each daily dialysis reduces it by 5%. After 3 weeks 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 over (1 - r) to the power of ( t times 7)
b A LaTex expression showing C = C sub 0 times (1 + r) to the power of ( t over 7 )
c A LaTex expression showing C = C sub 0 times (1 - r) to the power of ( t times 7)
3
A toxin starts at a concentration of 500mg/L. Each daily dialysis reduces it by 6%. After 216 hours 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 (1 - r) to the power of ( t over 24 )
b A LaTex expression showing C = C sub 0 over (1 - r) to the power of ( \frac{t {24 )}}
c A LaTex expression showing C = C sub 0 times (1 + r) to the power of ( t times 24)
4
A charitable endowment starts with $600. Each yearly it disburses 3% of its remaining funds. After 2555 days its funds have decreased to a certain amount.
How would you solve for the final cash given this scenario?
a A LaTex expression showing P = P sub 0 times (1 + r) to the power of ( t times 365)
b A LaTex expression showing P = P sub 0 over (1 - r) to the power of ( \frac{t {365 )}}
c A LaTex expression showing P = P sub 0 times (1 - r) to the power of ( t over 365 )
5
A charitable endowment starts with $800. Each weekly it disburses 7% of its remaining funds. After 35 days its funds have decreased to a certain amount.
How would you solve for the final cash given this scenario?
a A LaTex expression showing P = P sub 0 times (1 - r) to the power of ( t over 7 )
b A LaTex expression showing P = P sub 0 times (1 + r) to the power of ( t times 7)
c A LaTex expression showing P = P sub 0 over (1 - r) to the power of ( \frac{t {7 )}}
6
A toxin starts at a concentration of 600mg/L. Each hourly dialysis reduces it by 8%. After 3 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 (1 + r) to the power of ( t over 24 )
b A LaTex expression showing C = C sub 0 times (1 - r) to the power of ( t times 24)
c A LaTex expression showing C = C sub 0 over (1 - r) to the power of ( t times 24)
7
A toxin starts at a concentration of 200mg/L. Each daily dialysis reduces it by 7%. After 5 weeks 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 (1 + r) to the power of ( t over 7 )
b A LaTex expression showing C = C sub 0 over (1 - r) to the power of ( t times 7)
c A LaTex expression showing C = C sub 0 times (1 - r) to the power of ( t times 7)
8
A charitable endowment starts with $600. Each daily it disburses 5% of its remaining funds. After 8 years its funds have decreased to a certain amount.
How would you solve for the final cash given this scenario?
a A LaTex expression showing P = P sub 0 times (1 - r) to the power of ( t times 365)
b A LaTex expression showing P = P sub 0 over (1 - r) to the power of ( t times 365)
c A LaTex expression showing P = P sub 0 times (1 + r) to the power of ( t over 365 )