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Grade 11Common Core (CCSS) · Math: algebra

Math · Grade 11

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Exponential growth and decay · Grade 11

Name: ____________________

Worked example

  1. The growth factor is 1 + p/100 (or 1 − p/100 for a decrease).
  2. Multiply the start value by the factor to the power of the years.
  3. Example: 1,000 · 1.05³ ≈ 1,158.
Example: how to solve it
1.

Find the value: 5000 grows by 5 % per year for 2 years (whole number)

2.

The model for equipment value uses amounts in kr. Find the value: 50,000 grows by 2 % per year for 2 years (whole number) Answer with the correct unit.

3.

Find the value: 1000 grows by 10 % per year for 2 years (whole number)

4.

The model for fund value uses amounts in kr. Find the value: 50,000 grows by 5 % per year for 3 years (whole number) Answer with the correct unit.

5.

Find the value: 5000 grows by 5 % per year for 4 years (whole number)

6.

The model for savings uses amounts in kr. Find the value: 5000 grows by 5 % per year for 3 years (whole number) Answer with the correct unit.

7.

Find the value: 50,000 grows by 2 % per year for 2 years (whole number)

8.

The model for club capital uses amounts in kr. Find the value: 2000 grows by 2 % per year for 4 years (whole number) Answer with the correct unit.

9.

Find the value: 5000 grows by 2 % per year for 4 years (whole number)

10.

The model for savings uses amounts in kr. Find the value: 20,000 grows by 10 % per year for 4 years (whole number) Answer with the correct unit.

11.

Find the value: 1000 grows by 2 % per year for 2 years (whole number)

12.

The model for equipment value uses amounts in kr. Find the value: 20,000 grows by 5 % per year for 3 years (whole number) Answer with the correct unit.

13.

Find the value: 10,000 grows by 2 % per year for 3 years (whole number)

14.

The model for club capital uses amounts in kr. Find the value: 5000 grows by 10 % per year for 4 years (whole number) Answer with the correct unit.

15.

Find the value: 2000 grows by 10 % per year for 2 years (whole number)

16.

The model for fund value uses amounts in kr. Find the value: 10,000 grows by 5 % per year for 4 years (whole number) Answer with the correct unit.

17.

Find the value: 50,000 grows by 5 % per year for 3 years (whole number)

18.

The model for savings uses amounts in kr. Find the value: 50,000 grows by 10 % per year for 3 years (whole number) Answer with the correct unit.

19.

Find the value: 50,000 grows by 2 % per year for 4 years (whole number)

20.

The model for equipment value uses amounts in kr. Find the value: 20,000 grows by 5 % per year for 2 years (whole number) Answer with the correct unit.

Answer key

  1. 1. 5513
  2. 2. 52,020 kr
  3. 3. 1210
  4. 4. 57,881 kr
  5. 5. 6078
  6. 6. 5788 kr
  7. 7. 52,020
  8. 8. 2165 kr
  9. 9. 5412
  10. 10. 29,282 kr
  11. 11. 1040
  12. 12. 23,153 kr
  13. 13. 10,612
  14. 14. 7321 kr
  15. 15. 2420
  16. 16. 12,155 kr
  17. 17. 57,881
  18. 18. 66,550 kr
  19. 19. 54,122
  20. 20. 22,050 kr

Created with WorksheetMint

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Area
Algebra
Exercise type
Exponential growth and decay
Grade
11 (ages 16–17)
Difficulty
Easy
Number of tasks
20
Task format
Mixed
Paper size
US Letter
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Practise exponential models y = C · aˣ with real amounts.

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About this generator

The value is start · (1 ± p/100)ⁿ. Medium and hard mix growth and decay. The answer key is calculated by the website. No sign-up needed.

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