Home
Grade 1Grade 2Grade 3Grade 4Grade 5Grade 6Grade 7Grade 8Grade 9Grade 10Grade 11Grade 12Math Themes
Explorers (Grades 1-3)Explorers Elite (1-3)Navigators (Grades 4-6)Navigators Elite (4-6)Challengers (Grades 7-9)Challengers Elite (7-9)Scholars (Grades 10-12)Scholars Elite (10-12)Schedule an Evaluation
Mobius MethodFlexible ClassesCompanySupport
Pricing
Ctrl+k
Sign InJoin

Exponential Function Decay (Discrete) - Equation to Scenario

Level 1

This math topic focuses on connecting exponential decay equations in their discrete forms with real-life scenarios. It specifically assesses the ability to interpret equations representing exponential decay over time and match them with the corresponding descriptions of phenomena such as population declines, fund reduction, and concentration decrease after treatment processes. These problems help reinforce understanding of exponential decay models by applying them to practical contexts, such as environmental and financial changes.

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

more
WorksheetView

Exponential Function Decay (Discrete) - Equation to Scenario Worksheet

Mobius Math Academy logo
Exponential Function Decay (Discrete) - Equation to Scenario
1
Which scenario describes this equation?
A LaTex expression showing 547 =700 times (1-0.04) to the power of (6)
a
A whale population starts at 700. Each subsequent year it declines by 4%. After 6 years it has decreased to a population of 547 whales.
b
A whale population starts at 600. Each subsequent year it declines by 4%. After 7 years it has decreased to a population of 547 whales.
2
Which scenario describes this equation?
A LaTex expression showing 514 =600 times (1-0.05) to the power of (3)
a
A whale population starts at 300. Each subsequent year it declines by 5%. After 6 years it has decreased to a population of 514 whales.
b
A whale population starts at 600. Each subsequent year it declines by 5%. After 3 years it has decreased to a population of 514 whales.
3
Which scenario describes this equation?
A LaTex expression showing 152 =200 times (1-0.03) to the power of (9)
a
A bird population starts at 300. Each subsequent year it declines by 2%. After 9 years it has decreased to a population of 152.
b
A bird population starts at 200. Each subsequent year it declines by 3%. After 9 years it has decreased to a population of 152.
4
Which scenario describes this equation?
A LaTex expression showing 460 =500 times (1-0.04) to the power of (2)
a
A charitable endowment starts with $500. Each weekly it disburses 4% of its remaining funds. After 2 weeks its funds have decreased to $460.
b
A charitable endowment starts with $500. Each weekly it disburses 2% of its remaining funds. After 4 weeks its funds have decreased to $460.
5
Which scenario describes this equation?
A LaTex expression showing 376 =400 times (1-0.02) to the power of (3)
a
A whale population starts at 400. Each subsequent year it declines by 2%. After 3 years it has decreased to a population of 376 whales.
b
A whale population starts at 300. Each subsequent year it declines by 2%. After 4 years it has decreased to a population of 376 whales.
6
Which scenario describes this equation?
A LaTex expression showing 323 =500 times (1-0.07) to the power of (6)
a
A toxin starts at a concentration of 500mg/L. Each monthly dialysis reduces it by 7%. After 6 months it has decreased to a concentration of 323mg/L.
b
A toxin starts at a concentration of 600mg/L. Each monthly dialysis reduces it by 7%. After 5 months it has decreased to a concentration of 323mg/L.
7
Which scenario describes this equation?
A LaTex expression showing 467 =600 times (1-0.08) to the power of (3)
a
A bird population starts at 600. Each subsequent year it declines by 8%. After 3 years it has decreased to a population of 467.
b
A bird population starts at 300. Each subsequent year it declines by 8%. After 6 years it has decreased to a population of 467.
8
Which scenario describes this equation?
A LaTex expression showing 503 =900 times (1-0.07) to the power of (8)
a
A charitable endowment starts with $900. Each yearly it disburses 7% of its remaining funds. After 8 years its funds have decreased to $503.
b
A charitable endowment starts with $800. Each yearly it disburses 7% of its remaining funds. After 9 years its funds have decreased to $503.