Linear Graphs in Real Life Problems
Linear Graphs in Real Life Problems
TGM Original Questions
Two types of plants, A and B, grow at different rates in a garden. The height-time graph below shows the variations of height for plant A and B with respect to time.
- Find, in cm, the heights of plant A and B, respectively, at the beginning.
- Find the time it takes (in weeks) for
- plant A to grow to \(18\) cm,
- plant B to grow to \(25\) cm,
- plant A to become taller than plant B, and their heights at this moment.
- Which plant grows faster? Explain your answer.
- If the gardener wants to sell a plant that is taller on week \(4\), which of the \(2\) plants should he sell? Explain your answer.
- Of the \(2\) plants, the gardener sells the one that first reaches \(35\) cm. Which plant is it? Explain your answer.
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Answer:(i) Plant A: \(6\text{ cm}\) Plant B: \(15\text{ cm}\) (ii)(a) \(3\) weeks (ii)(b) \(4\) weeks (ii)(c) immediately after \(6\) weeks; both are \(30\text{ cm}\) at the crossover (iii) Plant A (iv) Plant B (v) Plant A
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