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Exponential Growth & Decay - Worksheet 10 - 12th Grade

Hard

Use explicitly stated exponential and logarithmic models and interpret their parameters.

hard: Use another set to practice explaining and checking your answers.

23 problems · 25-30 minutes · Skills: exponential, modeling, applications

About This Worksheet

This hard-level worksheet contains 23 problems designed for 12th Grade students practicing exponential growth & decay models. Hard worksheets feature challenging problems including multi-step questions, missing values, and real-world applications to push students further.

Evaluate functions, solve for variables and use exponential/logarithmic inverses.

  • Use explicitly stated exponential and logarithmic models and interpret their parameters.
  • Check your result using the method in the example before moving to the next question.

How to Solve: Worked Example

Example Problem: A population model starts at 3000 and increases by 10% each year. Find its modeled value after 3 years. Do not round.
Solution Steps:
  1. Use the annual multiplier 1.1.
  2. Multiply the initial value by this multiplier raised to 3.
Answer: 3993
Tip: Check your result using the method in the example before moving to the next question.
1
A population model starts at 7000 and increases by 10% each year. Find its modeled value after 1 years. Do not round.
2
A population model starts at 1000 and decreases by 10% each year. Find its modeled value after 1 years. Do not round.
3
A population model starts at 6000 and increases by 10% each year. Find its modeled value after 4 years. Do not round.
4
A population model starts at 6000 and decreases by 10% each year. Find its modeled value after 2 years. Do not round.
5
A population model starts at 3000 and increases by 10% each year. Find its modeled value after 2 years. Do not round.
6
A population model starts at 5000 and decreases by 10% each year. Find its modeled value after 1 years. Do not round.
7
A population model starts at 5000 and increases by 10% each year. Find its modeled value after 3 years. Do not round.
8
A population model starts at 10000 and decreases by 10% each year. Find its modeled value after 1 years. Do not round.
9
A population model starts at 10000 and increases by 10% each year. Find its modeled value after 3 years. Do not round.
10
A population model starts at 4000 and decreases by 10% each year. Find its modeled value after 3 years. Do not round.
11
A population model starts at 1000 and increases by 10% each year. Find its modeled value after 3 years. Do not round.
12
A population model starts at 9000 and decreases by 10% each year. Find its modeled value after 4 years. Do not round.
13
A population model starts at 10000 and increases by 10% each year. Find its modeled value after 2 years. Do not round.
14
A population model starts at 10000 and decreases by 10% each year. Find its modeled value after 3 years. Do not round.
15
A population model starts at 2000 and increases by 10% each year. Find its modeled value after 2 years. Do not round.
16
A population model starts at 9000 and decreases by 10% each year. Find its modeled value after 1 years. Do not round.
17
A population model starts at 1000 and increases by 10% each year. Find its modeled value after 1 years. Do not round.
18
A population model starts at 3000 and decreases by 10% each year. Find its modeled value after 2 years. Do not round.
19
A population model starts at 10000 and increases by 10% each year. Find its modeled value after 1 years. Do not round.
20
A population model starts at 2000 and decreases by 10% each year. Find its modeled value after 2 years. Do not round.
21
A population model starts at 9000 and increases by 10% each year. Find its modeled value after 3 years. Do not round.
22
A population model starts at 1000 and decreases by 10% each year. Find its modeled value after 3 years. Do not round.
23
A population model starts at 2000 and increases by 10% each year. Find its modeled value after 4 years. Do not round.

Answer Key

1. 77002. 9003. 43923/54. 48605. 36306. 45007. 66558. 90009. 1331010. 291611. 133112. 59049/1013. 1210014. 729015. 242016. 810017. 110018. 243019. 1100020. 162021. 1197922. 72923. 14641/5

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Frequently Asked Questions

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What skills does this exponential & logarithmic applications worksheet cover?

This worksheet focuses on exponential, modeling, applications. It is designed for 12th Grade students and provides structured practice through varied problem types with a worked example to guide students before they begin.

Can I use this worksheet in my classroom?

Yes. All worksheets on K12Worksheets are free for classroom use. You can print copies for your entire class. With 10 worksheets per subtopic at three difficulty levels, you have plenty of options for differentiated instruction and individualized practice.

How many problems are on this worksheet?

This worksheet contains 23 problems. It typically takes 25-30 minutes to complete. An answer key with all solutions is included so parents and teachers can check work quickly.