Worked example
An initial amount of 100 grows by 20% each period. What is the amount after 2 periods?
Answer & why
Answer: 144
Multiply by 6/5 each period: 100 × ()2 = 144.
Grade 11 · Math
Model repeated percent growth
Evaluate repeated growth using a constant multiplicative factor.
8 authored questions + worked example
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All questions
All 8 authored questions for this skill.
Question 1
An initial amount of 250 grows by 20% each period. What is the amount after 3 periods?
- 434
- 431
- 432
- 433
A hint
Percent growth applies to the new amount each period, not just the initial amount.
Answer & why
Answer: 432
Multiply by 6/5 each period: 250 × ()3 = 432.
Question 2
An initial amount of 400 grows by 10% each period. What is the amount after 2 periods?
- 484
- 485
- 486
- 483
A hint
Percent growth applies to the new amount each period, not just the initial amount.
Answer & why
Answer: 484
Multiply by 11/10 each period: 400 × ()2 = 484.
Question 3
An initial amount of 100 grows by 20% each period. What is the amount after 2 periods?
- 145
- 146
- 143
- 144
A hint
Percent growth applies to the new amount each period, not just the initial amount.
Answer & why
Answer: 144
Multiply by 6/5 each period: 100 × ()2 = 144.
Question 4
An initial amount of 200 grows by 50% each period. What is the amount after 2 periods?
- 449
- 452
- 451
- 450
A hint
Percent growth applies to the new amount each period, not just the initial amount.
Answer & why
Answer: 450
Multiply by 3/2 each period: 200 × ()2 = 450.
Question 5
An initial amount of 1000 grows by 10% each period. What is the amount after 3 periods?
- 1330
- 1333
- 1332
- 1331
A hint
Percent growth applies to the new amount each period, not just the initial amount.
Answer & why
Answer: 1331
Multiply by 11/10 each period: 1000 × ()3 = 1331.
Question 6
An initial amount of 64 grows by 25% each period. What is the amount after 3 periods?
- 125
- 124
- 126
- 127
A hint
Percent growth applies to the new amount each period, not just the initial amount.
Answer & why
Answer: 125
Multiply by 5/4 each period: 64 × ()3 = 125.
Question 7
An initial amount of 125 grows by 20% each period. What is the amount after 3 periods?
- 216
- 215
- 218
- 217
A hint
Percent growth applies to the new amount each period, not just the initial amount.
Answer & why
Answer: 216
Multiply by 6/5 each period: 125 × ()3 = 216.
Question 8
An initial amount of 256 grows by 25% each period. What is the amount after 2 periods?
- 402
- 400
- 401
- 399
A hint
Percent growth applies to the new amount each period, not just the initial amount.
Answer & why
Answer: 400
Multiply by 5/4 each period: 256 × ()2 = 400.