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Exponential Function Growth (Discrete) - Equation to Scenario

Level 1

This topic focuses on understanding exponential function growth in discrete settings by matching equations to real-world scenarios. The exercises involve determining which scenario correctly describes given equations representing exponential growth. Scenarios typically deal with financial contexts like savings accounts and credit card debt or biological contexts such as population growth. The primary skill practiced is the ability to interpret exponential growth equations and match them to descriptions of real situations involving financial or population changes over time.

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

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Exponential Function Growth (Discrete) - Equation to Scenario Worksheet

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Exponential Function Growth (Discrete) - Equation to Scenario
1
Which scenario describes this equation?
A LaTex expression showing 1,133 =900 times (1+0.08) to the power of (3)
a
A savings account starts with $800. Each subsequent year it earns 9% in interest. After 3 years it has $1,133.
b
A savings account starts with $900. Each subsequent year it earns 8% in interest. After 3 years it has $1,133.
2
Which scenario describes this equation?
A LaTex expression showing 1,179 =900 times (1+0.07) to the power of (4)
a
A credit card starts with $900 of debt. Each subsequent quarter it grows by 4% in interest. After 7 quarters the debt has grown to $1,179.
b
A credit card starts with $900 of debt. Each subsequent quarter it grows by 7% in interest. After 4 quarters the debt has grown to $1,179.
3
Which scenario describes this equation?
A LaTex expression showing 280 =200 times (1+0.07) to the power of (5)
a
An insect population starts at 200. Each subsequent yearly breeding season it grows by 5%. After 7 years it has increased to a population of 280.
b
An insect population starts at 200. Each subsequent yearly breeding season it grows by 7%. After 5 years it has increased to a population of 280.
4
Which scenario describes this equation?
A LaTex expression showing 1,470 =800 times (1+0.07) to the power of (9)
a
A savings account starts with $900. Each subsequent month it earns 7% in interest. After 8 months it has $1,470.
b
A savings account starts with $800. Each subsequent month it earns 7% in interest. After 9 months it has $1,470.
5
Which scenario describes this equation?
A LaTex expression showing 342 =200 times (1+0.08) to the power of (7)
a
A rabbit population starts at 800. Each subsequent yearly breeding season it grows by 2%. After 7 years it has increased to a population of 342 rabbits.
b
A rabbit population starts at 200. Each subsequent yearly breeding season it grows by 8%. After 7 years it has increased to a population of 342 rabbits.
6
Which scenario describes this equation?
A LaTex expression showing 1,033 =900 times (1+0.02) to the power of (7)
a
A savings account starts with $900. Each subsequent year it earns 7% in interest. After 2 years it has $1,033.
b
A savings account starts with $900. Each subsequent year it earns 2% in interest. After 7 years it has $1,033.
7
Which scenario describes this equation?
A LaTex expression showing 590 =400 times (1+0.05) to the power of (8)
a
An insect population starts at 400. Each subsequent yearly breeding season it grows by 5%. After 8 years it has increased to a population of 590.
b
An insect population starts at 800. Each subsequent yearly breeding season it grows by 5%. After 4 years it has increased to a population of 590.
8
Which scenario describes this equation?
A LaTex expression showing 787 =700 times (1+0.04) to the power of (3)
a
A savings account starts with $700. Each subsequent year it earns 4% in interest. After 3 years it has $787.
b
A savings account starts with $300. Each subsequent year it earns 4% in interest. After 7 years it has $787.