4.8 Exponential depreciation
Authored by Darek Tillman
Mathematics
9th - 12th Grade
CCSS covered
Used 41+ times
AI Actions
Add similar questions
Adjust reading levels
Convert to real-world scenario
Translate activity
More...
About
This quiz focuses on exponential depreciation within the broader topic of exponential functions and their real-world applications. The content is appropriate for grades 9-12, specifically targeting Algebra 2 or higher-level mathematics courses where students work with exponential decay models. The questions assess students' understanding of how to construct exponential decay equations using the formula y = a(1-r)^t, where 'a' represents the initial value, 'r' is the depreciation rate, and 't' is time. Students must demonstrate proficiency in distinguishing between growth and decay factors, calculating compound depreciation over multiple years, and solving both forward problems (finding future value) and reverse problems (determining original value from a depreciated amount). The core mathematical reasoning requires students to understand that depreciation means multiplying by the complement of the decay rate (such as 0.86 for 14% depreciation), apply exponent rules for compound changes over time, and manipulate exponential equations to solve for unknown variables. Created by Darek Tillman, a Mathematics teacher in US who teaches grade 9-12. This quiz serves as an excellent tool for formative assessment, homework assignments, or review sessions when students are learning about exponential decay applications in financial contexts. Teachers can use these problems as warm-up exercises to activate prior knowledge about exponential functions before introducing new depreciation scenarios, or as practice problems to reinforce the connection between mathematical models and real-world financial situations. The variety of question types—from equation setup to final calculations to conceptual vocabulary—makes this quiz valuable for comprehensive review before summative assessments. This content directly supports Common Core standards A-SSE.1 (interpreting expressions), A-CED.2 (creating equations to describe relationships), and F-LE.1 (distinguishing between linear and exponential functions), while also connecting to personal finance literacy standards that emphasize understanding asset depreciation and financial decision-making.
Content View
Student View
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
?
$11,213.98
$9,980,76
$10,469.39
$10,103.67
2.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Your shiny new boat cost $7650. The depreciation for your boat is 14% per year. Estimate the value of your vehicle in 3 years. What is the equation that models this problem?
3.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Your shiny new boat cost $7650. The depreciation for your boat is 14% per year. Estimate the value of your vehicle in 3 years. What is the answer?
Tags
CCSS.HSF-LE.A.1C
4.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Daniel’s Print Shop purchased a new printer for $35,000. Each year it depreciates at a rate of 5%. How much will the printer be worth in 8 years?
Tags
CCSS.HSF.BF.A.2
5.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
The term __________ refers to a decrease in the value of property as a result of use and age
capitalized cost reduction
decprecitation
amortization
residual value
6.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
A car was bought for $36,000 and the insurance company decided to calculate its depreciation each year as 12.5% from the period of July 12, 2017 to July 12, 2020. What time (in years) during which the price of the car was depreciated at 12.5%?
2
3
4
2020
7.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
If a vehicle costing $10,000 depreciates by 10% each year for 3 years, what is the cost of the vehicle after 3 years?
$7,000
$7,290
$13,000
$13,310
Tags
CCSS.HSF.BF.A.2
Access all questions and much more by creating a free account
Create resources
Host any resource
Get auto-graded reports
Continue with Google
Continue with Email
Continue with Classlink
Continue with Clever
or continue with
Microsoft
%20(1).png)
Apple
Others
Already have an account?
Similar Resources on Wayground
10 questions
Geometric Series
Quiz
•
11th - 12th Grade
10 questions
Precalculus 5.1-5.3 Quiz
Quiz
•
11th - 12th Grade
10 questions
Practice Degree to Radian and Radian to Degrees
Quiz
•
9th Grade
10 questions
Equation of the circle
Quiz
•
10th Grade - University
10 questions
Baseline M & D Week 1
Quiz
•
9th - 12th Grade
15 questions
Long Written Work #1 for Business Finance
Quiz
•
12th Grade
10 questions
MGSE.7.G2 (Triangles)
Quiz
•
KG - University
12 questions
REVISION: TOPIC 3 & TOPIC 4
Quiz
•
12th Grade
Popular Resources on Wayground
15 questions
Fractions on a Number Line
Quiz
•
3rd Grade
20 questions
Equivalent Fractions
Quiz
•
3rd Grade
25 questions
Multiplication Facts
Quiz
•
5th Grade
29 questions
Alg. 1 Section 5.1 Coordinate Plane
Quiz
•
9th Grade
22 questions
fractions
Quiz
•
3rd Grade
11 questions
FOREST Effective communication
Lesson
•
KG
20 questions
Main Idea and Details
Quiz
•
5th Grade
20 questions
Context Clues
Quiz
•
6th Grade
Discover more resources for Mathematics
29 questions
Alg. 1 Section 5.1 Coordinate Plane
Quiz
•
9th Grade
20 questions
Graphing Inequalities on a Number Line
Quiz
•
6th - 9th Grade
20 questions
Box and Whisker Plots
Quiz
•
9th Grade
18 questions
Exponential Growth and Decay
Quiz
•
9th Grade
20 questions
Function or Not a Function
Quiz
•
8th - 9th Grade
20 questions
SSS/SAS
Quiz
•
9th - 12th Grade
14 questions
Making Inferences From Samples
Quiz
•
7th - 12th Grade
23 questions
CCG - CH8 Polygon angles and area Review
Quiz
•
9th - 12th Grade