Exponential Function Decay (Continuous) - Meaning to Term

Level 1

This topic focuses on understanding the components of exponential decay functions in continuous processes. The problems explore identifying terms, like the starting value, decay rate, and final quantity in various contexts including toxin concentration reduction, population decline, and radioactive decay. Each question presents an exponential function and asks students which term represents a specific component like the starting amount, rate, or final result, emphasizing conceptual understanding of exponential decay models.

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

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Exponential Function Decay (Continuous) - Meaning to Term Worksheet

Exponential Function Decay (Continuous) - Meaning to Term

In this model of continuous reduction of a toxin concentration, which term represents the starting concentration?

$A LaTex expression showing C =C sub 0 times e to the power of (-r times t) \\\text{starting concentration} = ?$

In this model of continuous reduction of a toxin concentration, which term represents the rate?

$A LaTex expression showing C =C sub 0 times e to the power of (-r times t) \\\text{rate} = ?$

In this model of continuous decline of a bird population, which term represents the final population?

$A LaTex expression showing P =P sub 0 times e to the power of (-r times t) \\\text{final population} = ?$

In this model of a continuously declining bacteria population, which term represents the starting population?

$A LaTex expression showing P =P sub 0 times e to the power of (-r times t) \\\text{starting population} = ?$

In this model of continuous decay of a radioactive material, which term represents the rate of decay?

$A LaTex expression showing R =R sub 0 times e to the power of (-r times t) \\\text{rate of decay} = ?$

In this model of continuous decline of a whale population, which term represents the rate?

$A LaTex expression showing P =P sub 0 times e to the power of (-r times t) \\\text{rate} = ?$

In this model of continuous decay of a radioactive material, which term represents the final concentration?

$A LaTex expression showing R =R sub 0 times e to the power of (-r times t) \\\text{final concentration} = ?$

In this model of continuous decline of a bird population, which term represents the time?

$A LaTex expression showing P =P sub 0 times e to the power of (-r times t) \\\text{time} = ?$