Exponential Function Growth (Discrete) - Term to Meaning

Level 1

This math topic focuses on the practical understanding of exponential function growth in discrete scenarios. The problems require interpreting exponential expressions in contexts such as population growth and compound interest. By analyzing terms in equations, students learn to identify components like the initial amount, growth rate, and time period in models of rabbit population growth, credit card debt accumulation, insect population increase, and compound growth of money in savings. The content helps build an understanding of how variables in exponential growth formulas relate to real-world situations.

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

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Exponential Function Growth (Discrete) - Term to Meaning Worksheet

Exponential Function Growth (Discrete) - Term to Meaning

What does this term represent in a model of growth of a rabbit 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 $A LaTex expression showing P = \text{time}$

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

What does this term represent in a model of growth in credit card debt with monthly interest?

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

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

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

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

What does this term represent in a model of growth of an insect population that breeds once per year?

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

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

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

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

What does this term represent in a model of growth in credit card debt with yearly interest?

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

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

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

What does this term represent in a model of growth of a rabbit 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 $A LaTex expression showing r = \text{rate}$

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

What does this term represent in a model of quarterly compounding growth of money in a savings account?

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

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

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

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

What does this term represent in a model of growth in credit card debt with monthly interest?

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

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

b $A LaTex expression showing D = \text{starting debt}$

c $A LaTex expression showing D = \text{final debt}$

What does this term represent in a model of growth in credit card debt with yearly interest?

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

a $A LaTex expression showing D sub 0 = \text{final debt}$

b $A LaTex expression showing D sub 0 = \text{starting debt}$