Exponential Function Decay (Continuous) - Term to Meaning

Level 1

This math topic focuses on interpreting terms in exponential decay functions within continuous models. It primarily relates to determining the meanings of specific elements within exponential decay equations, such as decay rate (\( r \)), initial amount or concentration (\( C_0 \)), and time (\( t \)). The problems include scenarios such as the reduction in toxin concentration, decline of whale populations, and decay of radioactive materials. Each question involves identifying the correct term meaning given its symbol and context, practicing comprehension of exponential decay functions.

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

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Exponential Function Decay (Continuous) - Term to Meaning Worksheet

Exponential Function Decay (Continuous) - Term to Meaning

What does this term represent in a model of continuous reduction of a toxin concentration?

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

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

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

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

What does this term represent in a model of continuous reduction of a toxin concentration?

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

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

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

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

What does this term represent in a model of continuous decline of a whale population?

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

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 continuous reduction of a toxin concentration?

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

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

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

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

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

What does this term represent in a model of continuous decay of a radioactive material?

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

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

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

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

What does this term represent in a model of continuous decline of a whale population?

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

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

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

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

What does this term represent in a model of continuous decay of a radioactive material?

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

a $A LaTex expression showing R sub 0 = \text{starting concentration}$

b $A LaTex expression showing R sub 0 = \text{rate of decay}$

What does this term represent in a model of a continuously declining bacteria population?

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

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

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

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