AlgebraHardPredicting from a linear trend in context
Algebra practice question
A community garden had 20 plots in use when it opened and 50 plots in use three years later, with the number rising at a constant rate. If the rate continues, how many plots will be in use nine years after opening?
- A. 110Correct
- B. 90
- C. 150
- D. 100
Answer: A. 110
Rate: 30 plots over 3 years is 10 per year. After 9 years: 20 + 90 = 110.
Why the other answers are wrong
- B. 90
- 90 is 10 × 9, forgetting the starting 20.
- C. 150
- 150 triples the 3-year figure without accounting for the start.
- D. 100
- 100 comes from 20 + 10 × 8.
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