If the height of a plant is (h(t)=20+3t) cm, what type of change does it show?
Answer and explanation
Correct answer: Linear growth
The coefficient of t is 3, which is positive. Therefore, for every increase of 1 unit in t, the plant’s height increases by 3 cm, so this is linear growth. In linear decay, the coefficient of t would be negative, such as 20-3t. Exam tip: In y=a+bt, the sign of b indicates growth or decay.
Frequently asked questions
What is the correct answer to this question?
Linear growth
Why is this the correct answer?
The coefficient of t is 3, which is positive. Therefore, for every increase of 1 unit in t, the plant’s height increases by 3 cm, so this is linear growth. In linear decay, the coefficient of t would be negative, such as 20-3t. Exam tip: In y=a+bt, the sign of b indicates growth or decay.
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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