Exponential Function Decay (Discrete) - Term to Meaning

Level 1

This math topic focuses on understanding terms related to exponential decay in various discrete models. It covers specific instances where students are asked to identify parameters like initial values, rate of decline, or current values relating to populations, toxin concentrations, or financial endowments. Each question is framed within a real-life scenario to help establish practical applications of exponential decay concepts such as applying these models in environmental science, conservation efforts, and financial management.

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Exponential Function Decay (Discrete) - Term to Meaning Worksheet

Exponential Function Decay (Discrete) - Term to Meaning

What does this term represent in a model of balance of a charitable endowment (yearly disbursements)?

$A LaTex expression showing P =P sub 0 times (1 - r) to the power of (t) \\P sub 0 = ?$

a $A LaTex expression showing P sub 0 = \text{rate}$

b $A LaTex expression showing P sub 0 = \text{final cash}$

c $A LaTex expression showing P sub 0 = \text{starting cash}$

What does this term represent in a model of decline of a whale population (yearly breeding cycle)?

$A LaTex expression showing P =P sub 0 times (1 - r) to the power of (t) \\r = ?$

a $A LaTex expression showing r = \text{starting population}$

b $A LaTex expression showing r = \text{time}$

c $A LaTex expression showing r = \text{rate}$

What does this term represent in a model of decline of a bird population (yearly breeding cycle)?

$A LaTex expression showing P =P sub 0 times (1 - r) to the power of (t) \\P = ?$

a $A LaTex expression showing P = \text{starting population}$

b $A LaTex expression showing P = \text{final population}$

What does this term represent in a model of decline of a toxin concentration (hourly dialysis)?

$A LaTex expression showing C =C sub 0 times (1 - r) to the power of (t) \\t = ?$

a $A LaTex expression showing t = \text{starting concentration}$

b $A LaTex expression showing t = \text{time}$

c $A LaTex expression showing t = \text{rate}$

What does this term represent in a model of decline of a toxin concentration (hourly dialysis)?

$A LaTex expression showing C =C sub 0 times (1 - r) to the power of (t) \\C = ?$

a $A LaTex expression showing C = \text{starting concentration}$

b $A LaTex expression showing C = \text{time}$

c $A LaTex expression showing C = \text{final concentration}$

What does this term represent in a model of balance of a charitable endowment (weekly disbursements)?

$A LaTex expression showing P =P sub 0 times (1 - r) to the power of (t) \\t = ?$

a $A LaTex expression showing t = \text{final cash}$

b $A LaTex expression showing t = \text{starting cash}$

c $A LaTex expression showing t = \text{time}$

d $A LaTex expression showing t = \text{rate}$

What does this term represent in a model of decline of a toxin concentration (monthly dialysis)?

$A LaTex expression showing C =C sub 0 times (1 - r) to the power of (t) \\C sub 0 = ?$

a $A LaTex expression showing C sub 0 = \text{final concentration}$

b $A LaTex expression showing C sub 0 = \text{time}$

c $A LaTex expression showing C sub 0 = \text{starting concentration}$

What does this term represent in a model of decline of a toxin concentration (monthly dialysis)?

$A LaTex expression showing C =C sub 0 times (1 - r) to the power of (t) \\r = ?$

a $A LaTex expression showing r = \text{final concentration}$

b $A LaTex expression showing r = \text{time}$

c $A LaTex expression showing r = \text{rate}$