Exponential Function Growth (Discrete) - Meaning to Term

Level 1

This math topic focuses on understanding and identifying components of exponential growth models in various contexts such as credit card debt and population growth. Students are required to discern specific elements of the exponential function, such as the rate, initial amount, final amount, and time, based on given formulae. The problems help reinforce the understanding of exponential growth dynamics by applying them to practical and hypothetical scenarios.

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

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Exponential Function Growth (Discrete) - Meaning to Term Worksheet

Exponential Function Growth (Discrete) - Meaning to Term

In this model of growth in credit card debt with yearly interest, which term represents the rate?

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

In this model of growth of an insect population that breeds once per year, which term represents the final population?

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

In this model of growth in credit card debt with monthly interest, which term represents the final debt?

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

In this model of growth of a rabbit population (yearly breeding cycle), which term represents the starting population?

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

In this model of growth of an insect population that breeds once per year, which term represents the time?

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

In this model of growth of an insect population that breeds once per year, which term represents the rate?

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

In this model of growth in credit card debt with monthly interest, which term represents the time?

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

In this model of monthly compounding growth of money in a savings account, which term represents the final cash?

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