Exponential Function Decay (Discrete) - Equation and Scenario to Specific Value

Level 1

This math topic focuses on practicing exponential function decay for discrete scenarios. It includes exercises on calculating final concentrations, populations, and decay rates. Each question centers on applying the exponential decay equation to determine specific values like final concentration of toxins, remaining wildlife populations, number of years for certain population decreases, and decay rates. The scenarios given typically involve environmental and biological contexts such as toxic concentration decay through dialysis and wildlife population decreases over breeding cycles.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Exponential Function Decay (Discrete) - Equation and Scenario to Specific Value Worksheet

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Exponential Function Decay (Discrete) - Equation and Scenario to Spec...
1
What is the final concentration in this equation for a decline of a toxin concentration (daily dialysis)?
A LaTex expression showing 220 =300 times (1-0.06) to the power of (5)
a A LaTex expression showing C = 6
b A LaTex expression showing C = 220
c A LaTex expression showing C = 5
2
What is the time in this equation for a decline of a bird population (yearly breeding cycle)?
A LaTex expression showing 554 =800 times (1-0.04) to the power of (9)
a A LaTex expression showing t = 800
b A LaTex expression showing t = 9
c A LaTex expression showing t = 554
3
What is the final population in this equation for a decline of a whale population (yearly breeding cycle)?
A LaTex expression showing 796 =900 times (1-0.04) to the power of (3)
a A LaTex expression showing P = 900
b A LaTex expression showing P = 796
4
What is the final population in this equation for a decline of a whale population (yearly breeding cycle)?
A LaTex expression showing 629 =900 times (1-0.05) to the power of (7)
a A LaTex expression showing P = 7
b A LaTex expression showing P = 629
c A LaTex expression showing P = 5
5
What is the time in this equation for a decline of a whale population (yearly breeding cycle)?
A LaTex expression showing 508 =600 times (1-0.08) to the power of (2)
a A LaTex expression showing t = 2
b A LaTex expression showing t = 600
c A LaTex expression showing t = 507
6
What is the final concentration in this equation for a decline of a toxin concentration (weekly dialysis)?
A LaTex expression showing 722 =800 times (1-0.05) to the power of (2)
a A LaTex expression showing C = 2
b A LaTex expression showing C = 800
c A LaTex expression showing C = 722
7
What is the rate in this equation for a decline of a whale population (yearly breeding cycle)?
A LaTex expression showing 340 =400 times (1-0.02) to the power of (8)
a A LaTex expression showing r = 340\%
b A LaTex expression showing r = 400\%
c A LaTex expression showing r = 2\%
8
What is the starting cash in this equation for a balance of a charitable endowment (daily disbursements)?
A LaTex expression showing 565 =600 times (1-0.02) to the power of (3)
a A LaTex expression showing P sub 0 = 3
b A LaTex expression showing P sub 0 = 600
c A LaTex expression showing P sub 0 = 2
d A LaTex expression showing P sub 0 = 564