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If a plant grows by (2) cm each day and starts at (10) cm, which rule represents it?

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Answer and explanation

Correct answer: \(h(d)=10+2d\)

At the start, that is, when \(d=0\), the plant’s height is \(10\) cm. Since it increases by \(2\) cm per day, its height after \(d\) days is \(h(d)=10+2d\). Option B represents a decrease in height, so it does not model growth. Exam tip: in a linear rule, the constant term is the initial value and the coefficient of \(d\) is the change per day.

Related tags

Linear GrowthLinear EquationsPolynomialsWord ProblemsMathematical Modelling

Frequently asked questions

What is the correct answer to this question?

\(h(d)=10+2d\)

Why is this the correct answer?

At the start, that is, when \(d=0\), the plant’s height is \(10\) cm. Since it increases by \(2\) cm per day, its height after \(d\) days is \(h(d)=10+2d\). Option B represents a decrease in height, so it does not model growth. Exam tip: in a linear rule, the constant term is the initial value and the coefficient of \(d\) is the change per day.

Which subject and chapter does this question cover?

This is a Class 9 Mathematics question. Chapter: Introduction to Polynomials. Topic: Linear growth and decay.

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