AlgebraMediumConstant growth read from two measurements
Algebra practice question
A bamboo shoot grows at a constant rate. It measured 11 centimeters at the end of week 3 and 23 centimeters at the end of week 7. How many centimeters tall will it be at the end of week 10?
Answer: 32
Growth is 12 cm over 4 weeks — 3 cm per week. From week 7's 23 cm, three more weeks add 9 cm: 32 cm.
Common wrong answers
- If you answered 26
- You added one week's growth instead of three: week 7 to week 10 is 3 weeks.
- If you answered 30
- The shoot grows 3 cm per week for 3 more weeks after week 7: 23 + 9 = 32.
- If you answered 33
- 33 would be 3 · 10 + 3, treating week-0 height as 3 cm; the actual start is 2 cm, giving 32.
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