4.8 Exponential depreciation
Authored by Darek Tillman
Mathematics
9th - 12th Grade
CCSS covered
Used 44+ times
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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.
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10 questions
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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
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